79560000 has 420 divisors, whose sum is σ = 324936612. Its totient is φ = 18432000.

The previous prime is 79559989. The next prime is 79560029. The reversal of 79560000 is 6597.

It can be written as a sum of positive squares in 10 ways, for example, as 64256256 + 15303744 = 8016^2 + 3912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4679992 + ... + 4680008.

Almost surely, 2^79560000 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 79560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162468306).

79560000 is an abundant number, since it is smaller than the sum of its proper divisors (245376612).

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

79560000 is a wasteful number, since it uses less digits than its factorization.

79560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 79560000 is about 8919.6412483911. The cubic root of 79560000 is about 430.0955259196.

Adding to 79560000 its reverse (6597), we get a palindrome (79566597).

The spelling of 79560000 in words is "seventy-nine million, five hundred sixty thousand".