79044940800 has 1584 divisors, whose sum is σ = 362953733760. Its totient is φ = 16456089600.

The previous prime is 79044940759. The next prime is 79044940823. The reversal of 79044940800 is 804944097.

79044940800 is a `hidden beast` number, since 7 + 90 + 449 + 40 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2549836785 + ... + 2549836815.

Almost surely, 2^79044940800 is an apocalyptic number.

79044940800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79044940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181476866880).

79044940800 is an abundant number, since it is smaller than the sum of its proper divisors (283908792960).

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

79044940800 is a wasteful number, since it uses less digits than its factorization.

79044940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 79044940800 in words is "seventy-nine billion, forty-four million, nine hundred forty thousand, eight hundred".