84800400804 has 144 divisors (see below), whose sum is σ = 255772258560. Its totient is φ = 23162388480.

The previous prime is 84800400799. The next prime is 84800400847. The reversal of 84800400804 is 40800400848.

It is a super-2 number, since 2×84800400804² (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, 15582724 + ... + 15588164.

It is an arithmetic number, because the mean of its divisors is an integer number (1776196240).

Almost surely, 2^84800400804 is an apocalyptic number.

84800400804 is a gapful number since it is divisible by the number (84) 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 84800400804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127886129280).

84800400804 is an abundant number, since it is smaller than the sum of its proper divisors (170971857756).

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

84800400804 is a wasteful number, since it uses less digits than its factorization.

84800400804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 8165 counting only the distinct ones).

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

The spelling of 84800400804 in words is "eighty-four billion, eight hundred million, four hundred thousand, eight hundred four".