79591680 has 432 divisors, whose sum is σ = 335543040. Its totient is φ = 17805312.

The previous prime is 79591679. The next prime is 79591693. The reversal of 79591680 is 8619597.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693417 + ... + 1693463.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 2^79591680 is an apocalyptic number.

79591680 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 79591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167771520).

79591680 is an abundant number, since it is smaller than the sum of its proper divisors (255951360).

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

79591680 is a wasteful number, since it uses less digits than its factorization.

79591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 79591680 is about 8921.4169278204. The cubic root of 79591680 is about 430.1526049298.

The spelling of 79591680 in words is "seventy-nine million, five hundred ninety-one thousand, six hundred eighty".