803112800 has 72 divisors (see below), whose sum is σ = 2240700336. Its totient is φ = 275351040.

The previous prime is 803112799. The next prime is 803112833. The reversal of 803112800 is 8211308.

It is a congruent number.

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, 66107 + ... + 77306.

It is an arithmetic number, because the mean of its divisors is an integer number (31120838).

Almost surely, 2^803112800 is an apocalyptic number.

803112800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

803112800 is an abundant number, since it is smaller than the sum of its proper divisors (1437587536).

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

803112800 is a wasteful number, since it uses less digits than its factorization.

803112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143440 (or 143427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 803112800 is about 28339.2448734965. The cubic root of 803112800 is about 929.5202366085.

The spelling of 803112800 in words is "eight hundred three million, one hundred twelve thousand, eight hundred".