79505088 has 112 divisors (see below), whose sum is σ = 231196896. Its totient is φ = 23961600.

The previous prime is 79505071. The next prime is 79505117. The reversal of 79505088 is 88050597.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131988 + ... + 132588.

It is an arithmetic number, because the mean of its divisors is an integer number (2064258).

Almost surely, 2^79505088 is an apocalyptic number.

79505088 is a gapful number since it is divisible by the number (78) 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 79505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115598448).

79505088 is an abundant number, since it is smaller than the sum of its proper divisors (151691808).

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

79505088 is a wasteful number, since it uses less digits than its factorization.

79505088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 79505088 is about 8916.5625663705. The cubic root of 79505088 is about 429.9965530641.

It can be divided in two parts, 7950 and 5088, that multiplied together give a square (40449600 = 6360²).

The spelling of 79505088 in words is "seventy-nine million, five hundred five thousand, eighty-eight".