804921600 has 432 divisors, whose sum is σ = 3120550272. Its totient is φ = 178913280.

The previous prime is 804921589. The next prime is 804921629. The reversal of 804921600 is 6129408.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7123144 + ... + 7123256.

It is an arithmetic number, because the mean of its divisors is an integer number (7223496).

Almost surely, 2^804921600 is an apocalyptic number.

804921600 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 804921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560275136).

804921600 is an abundant number, since it is smaller than the sum of its proper divisors (2315628672).

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

804921600 is a wasteful number, since it uses less digits than its factorization.

804921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 804921600 is about 28371.1402661225. The cubic root of 804921600 is about 930.2175465174.

The spelling of 804921600 in words is "eight hundred four million, nine hundred twenty-one thousand, six hundred".