804433920 has 104 divisors (see below), whose sum is σ = 2574070896. Its totient is φ = 214499328.

The previous prime is 804433919. The next prime is 804433933. The reversal of 804433920 is 29334408.

It is a super-2 number, since 2×804433920² = 1294227863293132800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 54894 + ... + 67986.

Almost surely, 2^804433920 is an apocalyptic number.

804433920 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 804433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287035448).

804433920 is an abundant number, since it is smaller than the sum of its proper divisors (1769636976).

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

804433920 is a wasteful number, since it uses less digits than its factorization.

804433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13125 (or 13103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 804433920 is about 28362.5443146414. The cubic root of 804433920 is about 930.0296441007.

The spelling of 804433920 in words is "eight hundred four million, four hundred thirty-three thousand, nine hundred twenty".