804108900 has 144 divisors (see below), whose sum is σ = 2715826176. Its totient is φ = 179863680.

The previous prime is 804108889. The next prime is 804108919. The reversal of 804108900 is 9801408.

It is a happy number.

It is a super-2 number, since 2×804108900² = 1293182246118420000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94627 + ... + 102773.

It is an arithmetic number, because the mean of its divisors is an integer number (18859904).

Almost surely, 2^804108900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804108900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357913088).

804108900 is an abundant number, since it is smaller than the sum of its proper divisors (1911717276).

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

804108900 is a wasteful number, since it uses less digits than its factorization.

804108900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8218 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 804108900 is about 28356.8139959340. The cubic root of 804108900 is about 929.9043721768.

The spelling of 804108900 in words is "eight hundred four million, one hundred eight thousand, nine hundred".