790916025600 has 1296 divisors, whose sum is σ = 3065073822720. Its totient is φ = 194155315200.

The previous prime is 790916025583. The next prime is 790916025623. The reversal of 790916025600 is 6520619097.

It is a happy number.

790916025600 is a `hidden beast` number, since 7 + 9 + 0 + 9 + 16 + 0 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4140921505 + ... + 4140921695.

Almost surely, 2^790916025600 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 790916025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532536911360).

790916025600 is an abundant number, since it is smaller than the sum of its proper divisors (2274157797120).

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

790916025600 is a wasteful number, since it uses less digits than its factorization.

790916025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 790916025600 in words is "seven hundred ninety billion, nine hundred sixteen million, twenty-five thousand, six hundred".