813200 has 60 divisors (see below), whose sum is σ = 2075760. Its totient is φ = 305280.

The previous prime is 813199. The next prime is 813203. The reversal of 813200 is 2318.

It is a super-2 number, since 2×813200² = 1322588480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7547 + ... + 7653.

It is an arithmetic number, because the mean of its divisors is an integer number (34596).

2⁸¹³²⁰⁰ is an apocalyptic number.

813200 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 813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037880).

813200 is an abundant number, since it is smaller than the sum of its proper divisors (1262560).

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

813200 is a wasteful number, since it uses less digits than its factorization.

813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 813200 is about 901.7760254076. The cubic root of 813200 is about 93.3395687444.

Adding to 813200 its reverse (2318), we get a palindrome (815518).

The spelling of 813200 in words is "eight hundred thirteen thousand, two hundred".