79864948800 has 1008 divisors, whose sum is σ = 355630154880. Its totient is φ = 16548986880.

The previous prime is 79864948777. The next prime is 79864948811. The reversal of 79864948800 is 884946897.

79864948800 is a `hidden beast` number, since 7 + 98 + 64 + 9 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77313084 + ... + 77314116.

Almost surely, 2^79864948800 is an apocalyptic number.

79864948800 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 79864948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177815077440).

79864948800 is an abundant number, since it is smaller than the sum of its proper divisors (275765206080).

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

79864948800 is a wasteful number, since it uses less digits than its factorization.

79864948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 79864948800 in words is "seventy-nine billion, eight hundred sixty-four million, nine hundred forty-eight thousand, eight hundred".