| Base | Representation |
|---|---|
| bin | 1001001101111… |
| … | …01001010110000 |
| 3 | 12101111022022022 |
| 4 | 10212331022300 |
| 5 | 124243232010 |
| 6 | 11401131012 |
| 7 | 1626134210 |
| oct | 446751260 |
| 9 | 171438268 |
| 10 | 77320880 |
| 11 | 3a71135a |
| 12 | 21a89a68 |
| 13 | 13032b00 |
| 14 | a3aa240 |
| 15 | 6bc4d55 |
| hex | 49bd2b0 |
77320880 has 240 divisors, whose sum is σ = 239627520. Its totient is φ = 22643712.
The previous prime is 77320877. The next prime is 77320883. The reversal of 77320880 is 8802377.
77320880 = 1043 + 1053 + ... + 1433.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (77320877) and next prime (77320883).
It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 77320880.
It is not an unprimeable number, because it can be changed into a prime (77320883) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1798139 + ... + 1798181.
It is an arithmetic number, because the mean of its divisors is an integer number (998448).
Almost surely, 277320880 is an apocalyptic number.
77320880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 77320880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119813760).
77320880 is an abundant number, since it is smaller than the sum of its proper divisors (162306640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77320880 is a wasteful number, since it uses less digits than its factorization.
77320880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 108 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 18816, while the sum is 35.
The square root of 77320880 is about 8793.2292134346. The cubic root of 77320880 is about 426.0222313481.
The spelling of 77320880 in words is "seventy-seven million, three hundred twenty thousand, eight hundred eighty".
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