79581216 has 288 divisors, whose sum is σ = 270273024. Its totient is φ = 20275200.

The previous prime is 79581181. The next prime is 79581221. The reversal of 79581216 is 61218597.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (30240) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2567121 + ... + 2567151.

It is an arithmetic number, because the mean of its divisors is an integer number (938448).

Almost surely, 2^79581216 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 79581216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

79581216 is an abundant number, since it is smaller than the sum of its proper divisors (190691808).

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

79581216 is a wasteful number, since it uses less digits than its factorization.

79581216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 79581216 is about 8920.8304546158. The cubic root of 79581216 is about 430.1337532353.

It can be divided in two parts, 79581 and 216, that added together give a palindrome (79797).

The spelling of 79581216 in words is "seventy-nine million, five hundred eighty-one thousand, two hundred sixteen".