79978800 has 240 divisors, whose sum is σ = 286731648. Its totient is φ = 18892800.

The previous prime is 79978799. The next prime is 79978813. The reversal of 79978800 is 887997.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 79978800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963559 + ... + 963641.

Almost surely, 2^79978800 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 79978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143365824).

79978800 is an abundant number, since it is smaller than the sum of its proper divisors (206752848).

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

79978800 is a wasteful number, since it uses less digits than its factorization.

79978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The square root of 79978800 is about 8943.0867154467. The cubic root of 79978800 is about 430.8488729642.

79978800 divided by its sum of digits (48) gives a triangular number (1666225 = T₁₈₂₅).

It can be divided in two parts, 79 and 978800, that added together give a palindrome (978879).

The spelling of 79978800 in words is "seventy-nine million, nine hundred seventy-eight thousand, eight hundred".