83796078592800 has 864 divisors, whose sum is σ = 350296252854912. Its totient is φ = 19148428615680.

The previous prime is 83796078592799. The next prime is 83796078592813. The reversal of 83796078592800 is 829587069738.

83796078592800 is a `hidden beast` number, since 8 + 3 + 7 + 9 + 607 + 8 + 5 + 9 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 8917317702 + ... + 8917327098.

Almost surely, 2^{83796078592800} is an apocalyptic number.

83796078592800 is a gapful number since it is divisible by the number (80) 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 83796078592800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175148126427456).

83796078592800 is an abundant number, since it is smaller than the sum of its proper divisors (266500174262112).

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

83796078592800 is a wasteful number, since it uses less digits than its factorization.

83796078592800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15992 (or 15967 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 83796078592800 in words is "eighty-three trillion, seven hundred ninety-six billion, seventy-eight million, five hundred ninety-two thousand, eight hundred".