79585680 has 160 divisors (see below), whose sum is σ = 268554240. Its totient is φ = 19422720.

The previous prime is 79585679. The next prime is 79585691. The reversal of 79585680 is 8658597.

It is a super-2 number, since 2×79585680² = 12667760922124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141079 + ... + 141641.

It is an arithmetic number, because the mean of its divisors is an integer number (1678464).

Almost surely, 2^79585680 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 79585680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134277120).

79585680 is an abundant number, since it is smaller than the sum of its proper divisors (188968560).

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

79585680 is a wasteful number, since it uses less digits than its factorization.

79585680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 79585680 is about 8921.0806520287. The cubic root of 79585680 is about 430.1417956740.

The spelling of 79585680 in words is "seventy-nine million, five hundred eighty-five thousand, six hundred eighty".