79864444800 has 480 divisors, whose sum is σ = 336827496720. Its totient is φ = 18254315520.

The previous prime is 79864444769. The next prime is 79864444811. The reversal of 79864444800 is 844446897.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1792392 + ... + 1836408.

Almost surely, 2^79864444800 is an apocalyptic number.

79864444800 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 79864444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168413748360).

79864444800 is an abundant number, since it is smaller than the sum of its proper divisors (256963051920).

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

79864444800 is a wasteful number, since it uses less digits than its factorization.

79864444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44060 (or 44034 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 79864444800 in words is "seventy-nine billion, eight hundred sixty-four million, four hundred forty-four thousand, eight hundred".