813238800 has 120 divisors (see below), whose sum is σ = 2841946080. Its totient is φ = 197145600.

The previous prime is 813238771. The next prime is 813238801. The reversal of 813238800 is 8832318.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×813238800² = 1322714691650880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (813238801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17605 + ... + 44004.

It is an arithmetic number, because the mean of its divisors is an integer number (23682884).

Almost surely, 2^813238800 is an apocalyptic number.

813238800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813238800 is an abundant number, since it is smaller than the sum of its proper divisors (2028707280).

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

813238800 is a wasteful number, since it uses less digits than its factorization.

813238800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61641 (or 61630 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 813238800 is about 28517.3420921375. The cubic root of 813238800 is about 933.4105321632.

The spelling of 813238800 in words is "eight hundred thirteen million, two hundred thirty-eight thousand, eight hundred".