803960800 has 144 divisors (see below), whose sum is σ = 2036869632. Its totient is φ = 309657600.

The previous prime is 803960797. The next prime is 803960863. The reversal of 803960800 is 8069308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4165504 + ... + 4165696.

It is an arithmetic number, because the mean of its divisors is an integer number (14144928).

Almost surely, 2^803960800 is an apocalyptic number.

803960800 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 803960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018434816).

803960800 is an abundant number, since it is smaller than the sum of its proper divisors (1232908832).

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

803960800 is a wasteful number, since it uses less digits than its factorization.

803960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 803960800 is about 28354.2025103864. The cubic root of 803960800 is about 929.8472790421.

The spelling of 803960800 in words is "eight hundred three million, nine hundred sixty thousand, eight hundred".