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77 (seventy-seven) is the natural number following 76 and preceding 78. Seventy-seven is the smallest positive integer requiring five syllables in English.
| 77 | |
|---|---|
| Cardinal | seventy-seven |
| Ordinal | 77th (seventy-seventh) |
| Numeral system | 77 |
| Factorization | ![]() |
| Divisors | 1, 7, 11, 77 |
| Roman numeral | LXXVII |
| Binary | 10011012 |
| Octal | 1158 |
| Duodecimal | 6512 |
| Hexadecimal | 4D16 |
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Seventy-seven is the 22nd discrete biprime and the first of the (7.q) family. Since both 7 and 11 are Gaussian primes, this means that 77 is a Blum integer.
It is the sum of three squares, 42 + 52 + 62, as well as the sum of the first eight prime numbers.
77 has a aliquot sum of 19 and it is the second number to do so the first being 65. 77 is the 2nd member of the 19-aliquot tree.
77 and 78 form a Ruth–Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.
It is possible for a sudoku puzzle to have as many as 77 givens, yet lack a unique solution.[1]
It and its sibling 49 are the only 2-digit numbers whose home primes have not been calculated.
It is the number of digits of the 12th perfect number.[2] It also is the number of integer partitions of the number 12.[3]
In certain numerological systems based on the English alphabet, the number 77 is associated with Jesus Christ. CHRIST is C = 3, H = 8, R = 18, I = 9, S = 19, T = 20, which added together equal 77. The letters of JESUS equal 74 when added together: J = 10, E = 5, S = 19, U = 21, S = 19. Thus, JESUS CHRIST can be represented as 151 in numerology based on the English alphabet.[citation needed]
Conspiracy theorists often claim[who?] that the statistically inevitable occasional appearance of the number 77 in large events such as terrorist attacks hints at 'high-level involvement of powerful white supremist, Zionist and/or Christian-based secret societies', e.g., Flight 77 crashing into the Pentagon on September 11, or the infamous 7 July 2005 London bombings, also known as 7/7. Theorists purport that the appearance of the number 77 in other aspects of the culture is indicative of association with such groups.[citation needed]
During World War II in Sweden at the border with Norway, "77" was used as a shibboleth (password), because the tricky pronunciation in Swedish made it easy to instantly discern whether the speaker was native Swedish, Norwegian, or German.[citation needed]
In the Islamic tradition, "77" figures prominently. Muhammad is reported to have explained, "Faith has sixty-odd, or seventy-odd branches, the highest and best of which is to declare that there is no god but God, and the lowest of which is to remove something harmful from a road. Shyness, too, is a branch of faith." While some scholars refrain from clarifying "sixty-odd or seventy-odd," various numbers have been suggested, 77 being the most common.[4] Some have gone so far as to delineate these branches.[5]
Seventy-seven is also:
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