79096080 has 240 divisors, whose sum is σ = 296231040. Its totient is φ = 17098752.

The previous prime is 79096067. The next prime is 79096099. The reversal of 79096080 is 8069097.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 888676 + ... + 888764.

It is an arithmetic number, because the mean of its divisors is an integer number (1234296).

Almost surely, 2^79096080 is an apocalyptic number.

79096080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79096080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148115520).

79096080 is an abundant number, since it is smaller than the sum of its proper divisors (217134960).

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

79096080 is a wasteful number, since it uses less digits than its factorization.

79096080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 79096080 is about 8893.5976972202. The cubic root of 79096080 is about 429.2579232633.

The spelling of 79096080 in words is "seventy-nine million, ninety-six thousand, eighty".