804219331200 has 768 divisors, whose sum is σ = 2823762124800. Its totient is φ = 200894791680.

The previous prime is 804219331159. The next prime is 804219331219. The reversal of 804219331200 is 2133912408.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1118524441 + ... + 1118525159.

It is an arithmetic number, because the mean of its divisors is an integer number (3676773600).

Almost surely, 2^804219331200 is an apocalyptic number.

804219331200 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 804219331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411881062400).

804219331200 is an abundant number, since it is smaller than the sum of its proper divisors (2019542793600).

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

804219331200 is a wasteful number, since it uses less digits than its factorization.

804219331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 804219331200 in words is "eight hundred four billion, two hundred nineteen million, three hundred thirty-one thousand, two hundred".