79788564 has 144 divisors (see below), whose sum is σ = 226017792. Its totient is φ = 24548832.

The previous prime is 79788559. The next prime is 79788571. The reversal of 79788564 is 46588797.

79788564 is a `hidden beast` number, since 7 + 9 + 78 + 8 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3386880) is a multiple of the sum of its prime factors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 79788564.

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 47 ways as a sum of consecutive naturals, for example, 961267 + ... + 961349.

It is an arithmetic number, because the mean of its divisors is an integer number (1569568).

Almost surely, 2^79788564 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 79788564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113008896).

79788564 is an abundant number, since it is smaller than the sum of its proper divisors (146229228).

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

79788564 is a wasteful number, since it uses less digits than its factorization.

79788564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 79788564 is about 8932.4444582656. Note that the first 4 decimals coincide. The cubic root of 79788564 is about 430.5069988786.

The spelling of 79788564 in words is "seventy-nine million, seven hundred eighty-eight thousand, five hundred sixty-four".