84792388800 has 336 divisors, whose sum is σ = 331757194752. Its totient is φ = 18538291200.

The previous prime is 84792388693. The next prime is 84792388841. The reversal of 84792388800 is 888329748.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717940 + ... + 827660.

Almost surely, 2^84792388800 is an apocalyptic number.

84792388800 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 84792388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165878597376).

84792388800 is an abundant number, since it is smaller than the sum of its proper divisors (246964805952).

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

84792388800 is a wasteful number, since it uses less digits than its factorization.

84792388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109776 (or 109761 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 84792388800 in words is "eighty-four billion, seven hundred ninety-two million, three hundred eighty-eight thousand, eight hundred".