79580560 has 60 divisors (see below), whose sum is σ = 189901908. Its totient is φ = 31003648.

The previous prime is 79580551. The next prime is 79580561. The reversal of 79580560 is 6508597.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1364224 + 78216336 = 1168^2 + 8844^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79580561) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 580812 + ... + 580948.

Almost surely, 2^79580560 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 79580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94950954).

79580560 is an abundant number, since it is smaller than the sum of its proper divisors (110321348).

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

79580560 is a wasteful number, since it uses less digits than its factorization.

79580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 79580560 is about 8920.7936866626. The cubic root of 79580560 is about 430.1325713462.

The spelling of 79580560 in words is "seventy-nine million, five hundred eighty thousand, five hundred sixty".