804975120 has 60 divisors (see below), whose sum is σ = 2703377196. Its totient is φ = 214659840.

The previous prime is 804975113. The next prime is 804975139. The reversal of 804975120 is 21579408.

It can be written as a sum of positive squares in 2 ways, for example, as 477509904 + 327465216 = 21852^2 + 18096^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558291 + ... + 559730.

Almost surely, 2^804975120 is an apocalyptic number.

804975120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804975120 is an abundant number, since it is smaller than the sum of its proper divisors (1898402076).

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

804975120 is a wasteful number, since it uses less digits than its factorization.

804975120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118040 (or 1118031 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 804975120 is about 28372.0834624460. The cubic root of 804975120 is about 930.2381630759.

The spelling of 804975120 in words is "eight hundred four million, nine hundred seventy-five thousand, one hundred twenty".