76508857152 has 504 divisors, whose sum is σ = 284937927456. Its totient is φ = 20175547392.

The previous prime is 76508857111. The next prime is 76508857171. The reversal of 76508857152 is 25175880567.

76508857152 is a `hidden beast` number, since 7 + 6 + 508 + 85 + 7 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×76508857152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9902763 + ... + 9910485.

Almost surely, 2^76508857152 is an apocalyptic number.

76508857152 is a gapful number since it is divisible by the number (72) 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 76508857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142468963728).

76508857152 is an abundant number, since it is smaller than the sum of its proper divisors (208429070304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76508857152 is a wasteful number, since it uses less digits than its factorization.

76508857152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 76508857152 in words is "seventy-six billion, five hundred eight million, eight hundred fifty-seven thousand, one hundred fifty-two".