79928160 has 96 divisors (see below), whose sum is σ = 271162080. Its totient is φ = 19673088.

The previous prime is 79928159. The next prime is 79928161. The reversal of 79928160 is 6182997.

It is an interprime number because it is at equal distance from previous prime (79928159) and next prime (79928161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79928161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165 + ... + 12644.

It is an arithmetic number, because the mean of its divisors is an integer number (2824605).

Almost surely, 2^79928160 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 79928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135581040).

79928160 is an abundant number, since it is smaller than the sum of its proper divisors (191233920).

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

79928160 is a wasteful number, since it uses less digits than its factorization.

79928160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12840 (or 12832 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 79928160 is about 8940.2550299194. The cubic root of 79928160 is about 430.7579205560.

The spelling of 79928160 in words is "seventy-nine million, nine hundred twenty-eight thousand, one hundred sixty".