79626880 has 64 divisors (see below), whose sum is σ = 192780000. Its totient is φ = 31446016.

The previous prime is 79626871. The next prime is 79626881. The reversal of 79626880 is 8862697.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 79626880.

It is not an unprimeable number, because it can be changed into a prime (79626881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52371 + ... + 53869.

Almost surely, 2^79626880 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 79626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96390000).

79626880 is an abundant number, since it is smaller than the sum of its proper divisors (113153120).

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

79626880 is a wasteful number, since it uses less digits than its factorization.

79626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 79626880 is about 8923.3894905467. The cubic root of 79626880 is about 430.2160082911.

The spelling of 79626880 in words is "seventy-nine million, six hundred twenty-six thousand, eight hundred eighty".