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700
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This article is about the numbers 700 through 799; for each individual number, see its section below.

700 (seven hundred) is the natural number following 699 and preceding 701.

Cardinal700
seven hundred
Ordinal700th
seven hundredth
Factorization2^2 \cdot 5^2 \cdot 7
Roman numeralDCC
Roman numeral (Unicode)DCC, dcc
Binary1010111100
Octal1274
Duodecimal4A4
Hexadecimal2BC
Vigesimal1F0

It is the sum of four consecutive primes (167 + 173 + 179 + 181). It is a Harshad number.

700 is also:


701 prime number, sum of three consecutive primes (229 + 233 + 239), Chen prime, Eisenstein prime with no imaginary part


702 = 2 × 33 × 13, pronic number, nontotient, Harshad number


703 = 19 × 37, triangular number, hexagonal number, smallest number requiring 73 fifth powers for Waring representation, Kaprekar number


704 = 26 × 11, Harshad number.


705 = 3 × 5 × 47, sphenic number


706 = 2 × 353, nontotient, Smith number


707 = 7 × 101, sum of five consecutive primes (131 + 137 + 139 + 149 + 151)


708 = 22 × 3 × 59


709 prime number


710 = 2 × 5 × 71, sphenic number, nontotient, Harshad number


711 = 32 × 79. Also the phone number of Telecommunications Relay Service, commonly used by the deaf and hard-of-hearing.


712 = 23 × 89, sum of the first twenty-one primes, totient sum for first 48 integers, the number of the ambulance on the TV show Saved.


713 = 23 × 31


714 = 2 × 3 × 7 × 17, sum of twelve consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83), nontotient, member of Ruth-Aaron pair (either definition); the number of home runs Babe Ruth scored in his career; see also 714 (disambiguation)


715 = 5 × 11 × 13, sphenic number, pentatope number, Harshad number, member of Ruth-Aaron pair (either definition)


716 = 22 × 179


717 = 3 × 239


718 = 2 × 359


719 prime number, factorial prime (6! ? 1), Sophie Germain prime, safe prime, sum of seven consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113), Chen prime, Eisenstein prime with no imaginary part


720?seven hundred and twenty?= 24 × 32 × 5.


721 = 7 × 103, sum of nine consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), centered hexagonal number


722 = 2 × 192, nontotient


723 = 3 × 241


724 = 22 × 181, sum of four consecutive primes (173 + 179 + 181 + 191), sum of six consecutive primes (107 + 109 + 113 + 127 + 131 + 137), nontotient

the number of n-Queens Problem solutions for n = 10,


725 = 52 × 29


726 = 2 × 3 × 112, pentagonal pyramidal number


727 prime number, palindromic prime, Lucky prime


728 = 23 × 7 × 13, nontotient, Smith number


729?seven hundred and twenty-nine? = 36 = 272.


730 = 2 × 5 × 73, sphenic number, nontotient, Harshad number


731 = 17 × 43, sum of three consecutive primes (239 + 241 + 251)


732 = 22 × 3 × 61, sum of eight consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107), sum of ten consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), Harshad number


733 prime number, balanced prime, permutable prime, sum of five consecutive primes (137 + 139 + 149 + 151 + 157)


734 = 2 × 367, nontotient


735 = 3 × 5 × 72, Harshad number, Zuckerman number


736 = 25 × 23, centered heptagonal number, nice Friedman number since 736 = 7 + 36, Harshad number


737 = 11 × 67


738 = 2 × 32 × 41, Harshad number


739 prime number, strictly non-palindromic number, Lucky prime


740 = 22 × 5 × 37, nontotient


741 = 3 × 13 × 19, sphenic number, triangular number


742 = 2 × 7 × 53, sphenic number, decagonal number


743 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part


744 = 23 × 3 × 31, sum of four consecutive primes (179 + 181 + 191 + 193)


745 = 5 × 149


746 = 2 × 373, nontotient


747 = 32 × 83, model number of the Boeing 747, perhaps the most famous Boeing aircraft


748 = 22 × 11 × 17, nontotient


749 = 7 × 107, sum of three consecutive primes (241 + 251 + 257)


750?seven hundred and fifty?= 2 × 3 × 53, enneagonal number.


751 prime number, Chen prime


752 = 24 × 47, nontotient


753 = 3 × 251


754 = 2 × 13 × 29, sphenic number, nontotient, totient sum for first 49 integers


755 = 5 × 151. In 1976, Major League Baseball player Hank Aaron ended his career with a Major League record 755 home runs (record now held by Barry Bonds).


756 = 22 × 33 × 7, sum of six consecutive primes (109 + 113 + 127 + 131 + 137 + 139), pronic number, Harshad number


757 prime number, palindromic prime, sum of seven consecutive primes (97 + 101 + 103 + 107 + 109 + 113 + 127)


758 = 2 × 379, nontotient


759 = 3 × 11 × 23, sphenic number, sum of five consecutive primes (139 + 149 + 151 + 157 + 163)


760 = 23 × 5 × 19, centered triangular number


761 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, centered square number


762 = 2 × 3 × 127, sphenic number, sum of four consecutive primes (181 + 191 + 193 + 197), nontotient, Smith number, see also Feynman point


763 = 7 × 109, sum of nine consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103)


764 = 22 × 191


765 = a Japanese word-play for Namco; 32 × 5 × 17


766 = 2 × 383, centered pentagonal number, nontotient, sum of twelve consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89)


767 = 13 × 59, Thabit number (28 × 3 ? 1)


768 = 28 × 3, sum of eight consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107 + 109)


769 prime number, Chen prime, lucky prime, Proth prime


770 = 2 × 5 × 7 × 11, nontotient, Harshad number

  • Famous room party in New Orleans hotel room 770, giving the name to a well known science fiction fanzine called File 770

771 = 3 × 257, sum of three consecutive primes (251 + 257 + 263)


772 = 22 × 193


773 prime number, Eisenstein prime with no imaginary part, tetranacci number


774 = 2 × 32 × 43, nontotient, totient sum for first 50 integers, Harshad number


775 = 52 × 31, member of the Mian-Chowla sequence


776 = 23 × 97


777 = 3 × 7 × 37, sphenic number, Harshad number, 3333 in senary (base 6) counting. The numbers 3 and 7 are considered both "perfect numbers" under Hebrew tradition.citation needed 777 is also found in the title of the book 777 and other Qabalistic writings of Aleister Crowley.


778 = 2 × 389, nontotient, Smith number


779 = 19 × 41, highly cototient number


780 = 22 × 3 × 5 × 13, sum of four consecutive primes in a quadruplet; sum of ten consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), triangular number, hexagonal number, Harshad number

780 and 990 are the fourth smallest pair of triangular numbers whose sum and difference (1770 and 210) are also triangular.


781 = 11 × 71, Mertens function(781) = 0


782 = 2 × 17 × 23, sphenic number, nontotient, Harshad number, also, 782 gear used by U.S. Marines


783 = 33 × 29


784 = 24 × 72 = 282 = 13 + 23 + 33 + 43 + 53 + 63 + 73, the sum of the cubes of the first seven integers.


785 = 5 × 157, Mertens function(785) = 0


786 = 2 × 3 × 131, sphenic number. See also its use in Muslim numerological symbolism.


787 prime number, sum of five consecutive primes (149 + 151 + 157 + 163 + 167), Chen prime, Lucky prime, palindromic prime.


788 = 22 × 197, nontotient


789 = 3 × 263, sum of three consecutive primes (257 + 263 + 269)


790 = 2 × 5 × 79, sphenic number, nontotient


791 = 7 × 113, sum of the first twenty-two primes, sum of seven consecutive primes (101 + 103 + 107 + 109 + 113 + 127 + 131)


792 = 23 × 32 × 11, Harshad number


793 = 13 × 61, Mertens function(793) = 0, star number


794 = 2 × 397, nontotient


795 = 3 × 5 × 53, Mertens function(795) = 0


796 = 22 × 199, sum of six consecutive primes (113 + 127 + 131 + 137 + 139 + 149), Mertens function(796) = 0


797 prime number, Chen prime, Eisenstein prime with no imaginary part, palindromic prime


798 = 2 × 3 × 7 × 19, Mertens function(798) = 0, nontotient


799 = 17 × 47

Millennium:1st millennium
Centuries:6th century ? 7th century ? 8th century
Decades:670s  680s  690s  ? 700s ?  710s  720s  730s
Years:697 698 699 ? 700 ? 701 702 703
Eastern Hemisphere in 700 AD.
700 by topic
Politics
State leaders ? Sovereign states
Birth and death categories
Births ? Deaths
Establishment and disestablishment categories
Establishments ? Disestablishments
700 in other calendars
Gregorian calendar700
DCC
Ab urbe condita1453
Armenian calendar149
?? ???
Bahá'í calendar-1144 ? -1143
Bengali calendar107
Berber calendar1650
Buddhist calendar1244
Burmese calendar62
Byzantine calendar6208 ? 6209
Chinese calendar????????
(3336/3396-2-6)
? to ?
?????????
(3337/3397-11-17)
Coptic calendar416 ? 417
Ethiopian calendar692 ? 693
Hebrew calendar4460 ? 4461
Hindu calendars
 - Vikram Samvat755 ? 756
 - Shaka Samvat622 ? 623
 - Kali Yuga3801 ? 3802
Holocene calendar10700
Iranian calendar78 ? 79
Islamic calendar80 ? 81
Japanese calendar
Korean calendar3033
Thai solar calendar1243


Events

By place

North America

Europe

Africa

Asia

  • Mohammad ibn Alashath revolts against Abdul Malik ibn Marwan in the Sistan and Balochistan regions.

By topic

Art

Religion

  • Saint Adamnan convinces 51 kings to adopt the Cáin Adomnáin, which defines the relationship between women and priests.

Births

Deaths



This wikipedia article is licensed under the GNU Free Documentation License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.