79520320 has 224 divisors, whose sum is σ = 230428800. Its totient is φ = 25804800.

The previous prime is 79520317. The next prime is 79520321. The reversal of 79520320 is 2302597.

It is not an unprimeable number, because it can be changed into a prime (79520321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1939500 + ... + 1939540.

It is an arithmetic number, because the mean of its divisors is an integer number (1028700).

Almost surely, 2^79520320 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 79520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

79520320 is an abundant number, since it is smaller than the sum of its proper divisors (150908480).

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

79520320 is a wasteful number, since it uses less digits than its factorization.

79520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 79520320 is about 8917.4166662773. The cubic root of 79520320 is about 430.0240116391.

It can be divided in two parts, 795 and 20320, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 79520320 in words is "seventy-nine million, five hundred twenty thousand, three hundred twenty".