76570800768 has 448 divisors, whose sum is σ = 285172269120. Its totient is φ = 19886653440.

The previous prime is 76570800749. The next prime is 76570800821. The reversal of 76570800768 is 86700807567.

76570800768 is a `hidden beast` number, since 7 + 6 + 570 + 8 + 0 + 0 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7179696 + ... + 7190352.

Almost surely, 2^76570800768 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 76570800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142586134560).

76570800768 is an abundant number, since it is smaller than the sum of its proper divisors (208601468352).

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

76570800768 is a wasteful number, since it uses less digits than its factorization.

76570800768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10707 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 76570800768 in words is "seventy-six billion, five hundred seventy million, eight hundred thousand, seven hundred sixty-eight".