84840800400 has 90 divisors (see below), whose sum is σ = 294421156770. Its totient is φ = 22624212480.

The previous prime is 84840800393. The next prime is 84840800461. The reversal of 84840800400 is 400804848.

It can be written as a sum of positive squares in 3 ways, for example, as 19533975696 + 65306824704 = 139764^2 + 255552^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×84840800400² (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 17 ways as a sum of consecutive naturals, for example, 11779845 + ... + 11787044.

Almost surely, 2^84840800400 is an apocalyptic number.

84840800400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84840800400 is an abundant number, since it is smaller than the sum of its proper divisors (209580356370).

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

84840800400 is a wasteful number, since it uses less digits than its factorization.

84840800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23566913 (or 23566899 counting only the distinct ones).

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

The spelling of 84840800400 in words is "eighty-four billion, eight hundred forty million, eight hundred thousand, four hundred".