79586320 has 40 divisors (see below), whose sum is σ = 201862080. Its totient is φ = 28940160.

The previous prime is 79586317. The next prime is 79586323. The reversal of 79586320 is 2368597.

It is an interprime number because it is at equal distance from previous prime (79586317) and next prime (79586323).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×79586320² = 12667964662284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (79586323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 44340 + ... + 46099.

It is an arithmetic number, because the mean of its divisors is an integer number (5046552).

Almost surely, 2^79586320 is an apocalyptic number.

It is an amenable number.

79586320 is an abundant number, since it is smaller than the sum of its proper divisors (122275760).

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

79586320 is a wasteful number, since it uses less digits than its factorization.

79586320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90463 (or 90457 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 79586320 is about 8921.1165220504. The cubic root of 79586320 is about 430.1429486872.

The spelling of 79586320 in words is "seventy-nine million, five hundred eighty-six thousand, three hundred twenty".