76504082688 has 504 divisors, whose sum is σ = 253346032800. Its totient is φ = 22852730880.

The previous prime is 76504082687. The next prime is 76504082729. The reversal of 76504082688 is 88628040567.

76504082688 is a `hidden beast` number, since 76 + 504 + 0 + 8 + 2 + 68 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76504082687) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 170387488 + ... + 170387936.

It is an arithmetic number, because the mean of its divisors is an integer number (502670700).

Almost surely, 2^76504082688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76504082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126673016400).

76504082688 is an abundant number, since it is smaller than the sum of its proper divisors (176841950112).

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

76504082688 is an equidigital number, since it uses as much as digits as its factorization.

76504082688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 76504082688 in words is "seventy-six billion, five hundred four million, eighty-two thousand, six hundred eighty-eight".