79585920 has 192 divisors, whose sum is σ = 282358440. Its totient is φ = 20643840.

The previous prime is 79585873. The next prime is 79585921. The reversal of 79585920 is 2958597.

It is a happy number.

79585920 is a `hidden beast` number, since 7 + 9 + 58 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33454656 + 46131264 = 5784^2 + 6792^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (79585921) 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, 235992 + ... + 236328.

Almost surely, 2^79585920 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 79585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141179220).

79585920 is an abundant number, since it is smaller than the sum of its proper divisors (202772520).

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

79585920 is a wasteful number, since it uses less digits than its factorization.

79585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 79585920 is about 8921.0941033037. The cubic root of 79585920 is about 430.1422280547.

The spelling of 79585920 in words is "seventy-nine million, five hundred eighty-five thousand, nine hundred twenty".