79436880 has 120 divisors (see below), whose sum is σ = 275458560. Its totient is φ = 20494080.

The previous prime is 79436879. The next prime is 79436933. The reversal of 79436880 is 8863497.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20541 + ... + 24099.

It is an arithmetic number, because the mean of its divisors is an integer number (2295488).

Almost surely, 2^79436880 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 79436880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137729280).

79436880 is an abundant number, since it is smaller than the sum of its proper divisors (196021680).

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

79436880 is a wasteful number, since it uses less digits than its factorization.

79436880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 79436880 is about 8912.7369533718. The cubic root of 79436880 is about 429.8735521474.

The spelling of 79436880 in words is "seventy-nine million, four hundred thirty-six thousand, eight hundred eighty".