79873584 has 80 divisors (see below), whose sum is σ = 238556160. Its totient is φ = 22556160.

The previous prime is 79873571. The next prime is 79873589. The reversal of 79873584 is 48537897.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (79873589) 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, 28569 + ... + 31239.

It is an arithmetic number, because the mean of its divisors is an integer number (2981952).

Almost surely, 2^79873584 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 79873584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119278080).

79873584 is an abundant number, since it is smaller than the sum of its proper divisors (158682576).

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

79873584 is a wasteful number, since it uses less digits than its factorization.

79873584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2772 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 79873584 is about 8937.2022467884. The cubic root of 79873584 is about 430.6598558394.

The spelling of 79873584 in words is "seventy-nine million, eight hundred seventy-three thousand, five hundred eighty-four".