79539081600 has 384 divisors, whose sum is σ = 292785010560. Its totient is φ = 18810880000.

The previous prime is 79539081581. The next prime is 79539081647. The reversal of 79539081600 is 618093597.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 79539081600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4320415 + ... + 4338785.

It is an arithmetic number, because the mean of its divisors is an integer number (762460965).

Almost surely, 2^79539081600 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 79539081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146392505280).

79539081600 is an abundant number, since it is smaller than the sum of its proper divisors (213245928960).

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

79539081600 is a wasteful number, since it uses less digits than its factorization.

79539081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18450 (or 18433 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 79539081600 in words is "seventy-nine billion, five hundred thirty-nine million, eighty-one thousand, six hundred".