79788800 has 216 divisors, whose sum is σ = 244838496. Its totient is φ = 25067520.

The previous prime is 79788799. The next prime is 79788857. The reversal of 79788800 is 888797.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582332 + ... + 582468.

Almost surely, 2^79788800 is an apocalyptic number.

79788800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122419248).

79788800 is an abundant number, since it is smaller than the sum of its proper divisors (165049696).

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

79788800 is a wasteful number, since it uses less digits than its factorization.

79788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 47.

The square root of 79788800 is about 8932.4576685255. The cubic root of 79788800 is about 430.5074233318.

The spelling of 79788800 in words is "seventy-nine million, seven hundred eighty-eight thousand, eight hundred".