79125120 has 256 divisors, whose sum is σ = 296208000. Its totient is φ = 19906560.

The previous prime is 79125107. The next prime is 79125143. The reversal of 79125120 is 2152197.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328200 + ... + 328440.

Almost surely, 2^79125120 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 79125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148104000).

79125120 is an abundant number, since it is smaller than the sum of its proper divisors (217082880).

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

79125120 is a wasteful number, since it uses less digits than its factorization.

79125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 79125120 is about 8895.2301825192. The cubic root of 79125120 is about 429.3104506234.

The spelling of 79125120 in words is "seventy-nine million, one hundred twenty-five thousand, one hundred twenty".