79938892800 has 594 divisors, whose sum is σ = 310080472962. Its totient is φ = 19667681280.

The previous prime is 79938892769. The next prime is 79938892849. The reversal of 79938892800 is 829883997.

79938892800 is a `hidden beast` number, since 7 + 99 + 388 + 92 + 80 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 50376904704 + 29561988096 = 224448^2 + 171936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38936574 + ... + 38938626.

Almost surely, 2^79938892800 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 79938892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155040236481).

79938892800 is an abundant number, since it is smaller than the sum of its proper divisors (230141580162).

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

79938892800 is a wasteful number, since it uses less digits than its factorization.

79938892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 79938892800 in words is "seventy-nine billion, nine hundred thirty-eight million, eight hundred ninety-two thousand, eight hundred".