79712864 has 144 divisors (see below), whose sum is σ = 209944224. Its totient is φ = 29061120.

The previous prime is 79712849. The next prime is 79712879. The reversal of 79712864 is 46821797.

It is an interprime number because it is at equal distance from previous prime (79712849) and next prime (79712879).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460682 + ... + 460854.

It is an arithmetic number, because the mean of its divisors is an integer number (1457946).

Almost surely, 2^79712864 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 79712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104972112).

79712864 is an abundant number, since it is smaller than the sum of its proper divisors (130231360).

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

79712864 is a wasteful number, since it uses less digits than its factorization.

79712864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 79712864 is about 8928.2060908113. The cubic root of 79712864 is about 430.3708068811.

79712864 divided by its sum of digits (44) gives a triangular number (1811656 = T₁₉₀₃).

The spelling of 79712864 in words is "seventy-nine million, seven hundred twelve thousand, eight hundred sixty-four".