79576800 has 144 divisors (see below), whose sum is σ = 263233152. Its totient is φ = 20876800.

The previous prime is 79576793. The next prime is 79576811. The reversal of 79576800 is 867597.

It is a congruent number.

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, 170167 + ... + 170633.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^79576800 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 79576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576).

79576800 is an abundant number, since it is smaller than the sum of its proper divisors (183656352).

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

79576800 is a wasteful number, since it uses less digits than its factorization.

79576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 79576800 is about 8920.5829405931. The cubic root of 79576800 is about 430.1257969784.

The spelling of 79576800 in words is "seventy-nine million, five hundred seventy-six thousand, eight hundred".