76959813696 has 112 divisors (see below), whose sum is σ = 204840449856. Its totient is φ = 25500319744.

The previous prime is 76959813673. The next prime is 76959813701. The reversal of 76959813696 is 69631895967.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76959813696.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28963600 + ... + 28966256.

It is an arithmetic number, because the mean of its divisors is an integer number (1828932588).

Almost surely, 2^76959813696 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 76959813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102420224928).

76959813696 is an abundant number, since it is smaller than the sum of its proper divisors (127880636160).

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

76959813696 is a wasteful number, since it uses less digits than its factorization.

76959813696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3506 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 69.

The spelling of 76959813696 in words is "seventy-six billion, nine hundred fifty-nine million, eight hundred thirteen thousand, six hundred ninety-six".