79385880 has 192 divisors, whose sum is σ = 289578240. Its totient is φ = 17326848.

The previous prime is 79385879. The next prime is 79385921. The reversal of 79385880 is 8858397.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134947 + ... + 135533.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^79385880 is an apocalyptic number.

79385880 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 79385880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

79385880 is an abundant number, since it is smaller than the sum of its proper divisors (210192360).

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

79385880 is a wasteful number, since it uses less digits than its factorization.

79385880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 79385880 is about 8909.8754200045. The cubic root of 79385880 is about 429.7815367652.

The spelling of 79385880 in words is "seventy-nine million, three hundred eighty-five thousand, eight hundred eighty".