84000844800 has 528 divisors, whose sum is σ = 314431973280. Its totient is φ = 21967994880.

The previous prime is 84000844787. The next prime is 84000844819. The reversal of 84000844800 is 844800048.

It is a super-2 number, since 2×84000844800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 36632454 + ... + 36634746.

Almost surely, 2^84000844800 is an apocalyptic number.

84000844800 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 84000844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157215986640).

84000844800 is an abundant number, since it is smaller than the sum of its proper divisors (230431128480).

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

84000844800 is a wasteful number, since it uses less digits than its factorization.

84000844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 84000844800 in words is "eighty-four billion, eight hundred forty-four thousand, eight hundred".