76795115904 has 512 divisors, whose sum is σ = 252534374400. Its totient is φ = 22824861696.

The previous prime is 76795115849. The next prime is 76795115927. The reversal of 76795115904 is 40951159767.

76795115904 is a `hidden beast` number, since 7 + 6 + 79 + 511 + 59 + 0 + 4 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245351652 + ... + 245351964.

It is an arithmetic number, because the mean of its divisors is an integer number (493231200).

Almost surely, 2^76795115904 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 76795115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126267187200).

76795115904 is an abundant number, since it is smaller than the sum of its proper divisors (175739258496).

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

76795115904 is a wasteful number, since it uses less digits than its factorization.

76795115904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 76795115904 in words is "seventy-six billion, seven hundred ninety-five million, one hundred fifteen thousand, nine hundred four".