79810080 has 96 divisors (see below), whose sum is σ = 287328384. Its totient is φ = 18241536.

The previous prime is 79810079. The next prime is 79810109. The reversal of 79810080 is 8001897.

It is a tau number, because it is divible by the number of its divisors (96).

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, 8517 + ... + 15236.

It is an arithmetic number, because the mean of its divisors is an integer number (2993004).

Almost surely, 2^79810080 is an apocalyptic number.

79810080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

79810080 is an abundant number, since it is smaller than the sum of its proper divisors (207518304).

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

79810080 is a wasteful number, since it uses less digits than its factorization.

79810080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23778 (or 23770 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 79810080 is about 8933.6487506505. The cubic root of 79810080 is about 430.5456926280.

It can be divided in two parts, 798 and 10080, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 79810080 in words is "seventy-nine million, eight hundred ten thousand, eighty".