804428800 has 198 divisors, whose sum is σ = 2313388392. Its totient is φ = 271687680.

The previous prime is 804428789. The next prime is 804428809. The reversal of 804428800 is 8824408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804428809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12006367 + ... + 12006433.

Almost surely, 2^804428800 is an apocalyptic number.

804428800 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 804428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156694196).

804428800 is an abundant number, since it is smaller than the sum of its proper divisors (1508959592).

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

804428800 is an equidigital number, since it uses as much as digits as its factorization.

804428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 804428800 is about 28362.4540546124. The cubic root of 804428800 is about 930.0276709692.

The spelling of 804428800 in words is "eight hundred four million, four hundred twenty-eight thousand, eight hundred".