79580619600 has 120 divisors (see below), whose sum is σ = 255530392032. Its totient is φ = 21170956800.

The previous prime is 79580619563. The next prime is 79580619607. The reversal of 79580619600 is 691608597.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79580619607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426439 + ... + 583961.

Almost surely, 2^79580619600 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 79580619600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127765196016).

79580619600 is an abundant number, since it is smaller than the sum of its proper divisors (175949772432).

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

79580619600 is a wasteful number, since it uses less digits than its factorization.

79580619600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157965 (or 157954 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 79580619600 in words is "seventy-nine billion, five hundred eighty million, six hundred nineteen thousand, six hundred".