801793600 has 42 divisors (see below), whose sum is σ = 1972917314. Its totient is φ = 320716800.

The previous prime is 801793591. The next prime is 801793607. The reversal of 801793600 is 6397108.

It can be written as a sum of positive squares in 3 ways, for example, as 221176384 + 580617216 = 14872^2 + 24096^2 .

It is not an unprimeable number, because it can be changed into a prime (801793607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 248961 + ... + 252160.

Almost surely, 2^801793600 is an apocalyptic number.

801793600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801793600 is an abundant number, since it is smaller than the sum of its proper divisors (1171123714).

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

801793600 is a wasteful number, since it uses less digits than its factorization.

801793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501143 (or 501128 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 801793600 is about 28315.9601638369. The cubic root of 801793600 is about 929.0110117063.

The spelling of 801793600 in words is "eight hundred one million, seven hundred ninety-three thousand, six hundred".