84808792800 has 576 divisors, whose sum is σ = 316029772800. Its totient is φ = 21938688000.

The previous prime is 84808792793. The next prime is 84808792811. The reversal of 84808792800 is 829780848.

84808792800 is a `hidden beast` number, since 8 + 480 + 87 + 9 + 2 + 80 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 141112500 + ... + 141113100.

It is an arithmetic number, because the mean of its divisors is an integer number (548662800).

Almost surely, 2^84808792800 is an apocalyptic number.

84808792800 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 84808792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158014886400).

84808792800 is an abundant number, since it is smaller than the sum of its proper divisors (231220980000).

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

84808792800 is a wasteful number, since it uses less digits than its factorization.

84808792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 84808792800 in words is "eighty-four billion, eight hundred eight million, seven hundred ninety-two thousand, eight hundred".