813467200 has 336 divisors, whose sum is σ = 2546892544. Its totient is φ = 248832000.

The previous prime is 813467143. The next prime is 813467201. The reversal of 813467200 is 2764318.

It is not an unprimeable number, because it can be changed into a prime (813467201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5387125 + ... + 5387275.

Almost surely, 2^813467200 is an apocalyptic number.

813467200 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 813467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273446272).

813467200 is an abundant number, since it is smaller than the sum of its proper divisors (1733425344).

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

813467200 is a wasteful number, since it uses less digits than its factorization.

813467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 813467200 is about 28521.3463917817. The cubic root of 813467200 is about 933.4979074870.

The spelling of 813467200 in words is "eight hundred thirteen million, four hundred sixty-seven thousand, two hundred".