79580928 has 144 divisors (see below), whose sum is σ = 246064896. Its totient is φ = 22364160.

The previous prime is 79580923. The next prime is 79580939. The reversal of 79580928 is 82908597.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79580923) 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, 607423 + ... + 607553.

It is an arithmetic number, because the mean of its divisors is an integer number (1708784).

Almost surely, 2^79580928 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 79580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123032448).

79580928 is an abundant number, since it is smaller than the sum of its proper divisors (166483968).

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

79580928 is a wasteful number, since it uses less digits than its factorization.

79580928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 79580928 is about 8920.8143126062. The cubic root of 79580928 is about 430.1332343579.

It can be divided in two parts, 79580 and 928, that added together give a palindrome (80508).

The spelling of 79580928 in words is "seventy-nine million, five hundred eighty thousand, nine hundred twenty-eight".