804024640 has 56 divisors (see below), whose sum is σ = 1933617672. Its totient is φ = 318412800.

The previous prime is 804024563. The next prime is 804024667. The reversal of 804024640 is 46420408.

804024640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47114496 + 756910144 = 6864^2 + 27512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 804024599 and 804024608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19882 + ... + 44758.

It is an arithmetic number, because the mean of its divisors is an integer number (34528887).

Almost surely, 2^804024640 is an apocalyptic number.

804024640 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 804024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966808836).

804024640 is an abundant number, since it is smaller than the sum of its proper divisors (1129593032).

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

804024640 is a wasteful number, since it uses less digits than its factorization.

804024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24995 (or 24985 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 804024640 is about 28355.3282470861. The cubic root of 804024640 is about 929.8718904738.

The spelling of 804024640 in words is "eight hundred four million, twenty-four thousand, six hundred forty".