76936704000 has 416 divisors, whose sum is σ = 275779043904. Its totient is φ = 18933350400.

The previous prime is 76936703951. The next prime is 76936704029. The reversal of 76936704000 is 40763967.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19966074 + ... + 19969926.

It is an arithmetic number, because the mean of its divisors is an integer number (662930394).

Almost surely, 2^76936704000 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 76936704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137889521952).

76936704000 is an abundant number, since it is smaller than the sum of its proper divisors (198842339904).

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

76936704000 is a wasteful number, since it uses less digits than its factorization.

76936704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 76936704000 in words is "seventy-six billion, nine hundred thirty-six million, seven hundred four thousand".