79236986400 has 1440 divisors, whose sum is σ = 360163698048. Its totient is φ = 16655155200.

The previous prime is 79236986377. The next prime is 79236986459. The reversal of 79236986400 is 468963297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 157528549 + ... + 157529051.

Almost surely, 2^79236986400 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 79236986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180081849024).

79236986400 is an abundant number, since it is smaller than the sum of its proper divisors (280926711648).

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

79236986400 is a wasteful number, since it uses less digits than its factorization.

79236986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 79236986400 in words is "seventy-nine billion, two hundred thirty-six million, nine hundred eighty-six thousand, four hundred".