79596720 has 240 divisors, whose sum is σ = 323818560. Its totient is φ = 17104896.

The previous prime is 79596689. The next prime is 79596749. The reversal of 79596720 is 2769597.

It is a tau number, because it is divible by the number of its divisors (240).

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

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

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, 85216 + ... + 86144.

It is an arithmetic number, because the mean of its divisors is an integer number (1349244).

Almost surely, 2^79596720 is an apocalyptic number.

79596720 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 79596720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161909280).

79596720 is an abundant number, since it is smaller than the sum of its proper divisors (244221840).

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

79596720 is a wasteful number, since it uses less digits than its factorization.

79596720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 79596720 is about 8921.6993896903. The cubic root of 79596720 is about 430.1616842849.

The spelling of 79596720 in words is "seventy-nine million, five hundred ninety-six thousand, seven hundred twenty".