79396916428800 has 1800 divisors, whose sum is σ = 318047687499360. Its totient is φ = 19568944742400.

The previous prime is 79396916428787. The next prime is 79396916428829. The reversal of 79396916428800 is 882461969397.

79396916428800 is a `hidden beast` number, since 7 + 9 + 39 + 6 + 91 + 6 + 428 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1936510156780 + ... + 1936510156820.

Almost surely, 2^{79396916428800} 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 79396916428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159023843749680).

79396916428800 is an abundant number, since it is smaller than the sum of its proper divisors (238650771070560).

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

79396916428800 is an frugal number, since it uses more digits than its factorization.

79396916428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 79396916428800 in words is "seventy-nine trillion, three hundred ninety-six billion, nine hundred sixteen million, four hundred twenty-eight thousand, eight hundred".