79569504 has 144 divisors (see below), whose sum is σ = 267714720. Its totient is φ = 21934080.

The previous prime is 79569491. The next prime is 79569509. The reversal of 79569504 is 40596597.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 79569504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79569509) 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 23 ways as a sum of consecutive naturals, for example, 57784 + ... + 59144.

It is an arithmetic number, because the mean of its divisors is an integer number (1859130).

Almost surely, 2^79569504 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 79569504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133857360).

79569504 is an abundant number, since it is smaller than the sum of its proper divisors (188145216).

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

79569504 is a wasteful number, since it uses less digits than its factorization.

79569504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 79569504 is about 8920.1739893345. The cubic root of 79569504 is about 430.1126512134.

The spelling of 79569504 in words is "seventy-nine million, five hundred sixty-nine thousand, five hundred four".