803676800 has 48 divisors (see below), whose sum is σ = 1985340750. Its totient is φ = 321469440.

The previous prime is 803676749. The next prime is 803676827. The reversal of 803676800 is 8676308.

It can be written as a sum of positive squares in 3 ways, for example, as 722964544 + 80712256 = 26888^2 + 8984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122375 + ... + 128774.

Almost surely, 2^803676800 is an apocalyptic number.

803676800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

803676800 is an abundant number, since it is smaller than the sum of its proper divisors (1181663950).

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

803676800 is a wasteful number, since it uses less digits than its factorization.

803676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251173 (or 251156 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 803676800 is about 28349.1939920697. The cubic root of 803676800 is about 929.7377763033.

The spelling of 803676800 in words is "eight hundred three million, six hundred seventy-six thousand, eight hundred".