84404083200 has 240 divisors, whose sum is σ = 279217489056. Its totient is φ = 22475980800.

The previous prime is 84404083187. The next prime is 84404083217. The reversal of 84404083200 is 238040448.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41970195 + ... + 41972205.

Almost surely, 2^84404083200 is an apocalyptic number.

84404083200 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 84404083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139608744528).

84404083200 is an abundant number, since it is smaller than the sum of its proper divisors (194813405856).

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

84404083200 is a wasteful number, since it uses less digits than its factorization.

84404083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 84404083200 in words is "eighty-four billion, four hundred four million, eighty-three thousand, two hundred".