804220032 has 256 divisors, whose sum is σ = 2714342400. Its totient is φ = 204902400.

The previous prime is 804220031. The next prime is 804220051. The reversal of 804220032 is 230022408.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 804219990 and 804220008.

It is not an unprimeable number, because it can be changed into a prime (804220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744282 + ... + 1744742.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2^804220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

804220032 is an abundant number, since it is smaller than the sum of its proper divisors (1910122368).

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

804220032 is a wasteful number, since it uses less digits than its factorization.

804220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 804220032 is about 28358.7734572566. The cubic root of 804220032 is about 929.9472093979.

The spelling of 804220032 in words is "eight hundred four million, two hundred twenty thousand, thirty-two".