804652800 has 216 divisors, whose sum is σ = 3035389056. Its totient is φ = 183889920.

The previous prime is 804652747. The next prime is 804652811. The reversal of 804652800 is 8256408.

It is a super-2 number, since 2×804652800² = 1294932257095680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131407 + ... + 137393.

Almost surely, 2^804652800 is an apocalyptic number.

804652800 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 804652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517694528).

804652800 is an abundant number, since it is smaller than the sum of its proper divisors (2230736256).

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

804652800 is a wasteful number, since it uses less digits than its factorization.

804652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 804652800 is about 28366.4026623046. The cubic root of 804652800 is about 930.1139876469.

The spelling of 804652800 in words is "eight hundred four million, six hundred fifty-two thousand, eight hundred".