79813680 has 160 divisors (see below), whose sum is σ = 272125440. Its totient is φ = 19261440.

The previous prime is 79813631. The next prime is 79813693. The reversal of 79813680 is 8631897.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104500 + ... + 105260.

It is an arithmetic number, because the mean of its divisors is an integer number (1700784).

Almost surely, 2^79813680 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 79813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

79813680 is an abundant number, since it is smaller than the sum of its proper divisors (192311760).

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

79813680 is a wasteful number, since it uses less digits than its factorization.

79813680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 79813680 is about 8933.8502338018. The cubic root of 79813680 is about 430.5521660842.

It can be divided in two parts, 798136 and 80, that added together give a triangular number (798216 = T₁₂₆₃).

The spelling of 79813680 in words is "seventy-nine million, eight hundred thirteen thousand, six hundred eighty".