8084004403200 has 576 divisors, whose sum is σ = 29832359356800. Its totient is φ = 1914165657600.

The previous prime is 8084004403177. The next prime is 8084004403207. The reversal of 8084004403200 is 23044004808.

It is a super-2 number, since 2×8084004403200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8084004403207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72597166 + ... + 72708434.

It is an arithmetic number, because the mean of its divisors is an integer number (51792290550).

Almost surely, 2^{8084004403200} is an apocalyptic number.

8084004403200 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 8084004403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916179678400).

8084004403200 is an abundant number, since it is smaller than the sum of its proper divisors (21748354953600).

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

8084004403200 is a wasteful number, since it uses less digits than its factorization.

8084004403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111358 (or 111333 counting only the distinct ones).

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

The spelling of 8084004403200 in words is "eight trillion, eighty-four billion, four million, four hundred three thousand, two hundred".