812463200 has 72 divisors (see below), whose sum is σ = 2005887240. Its totient is φ = 321305600.

The previous prime is 812463193. The next prime is 812463203. The reversal of 812463200 is 2364218.

It is a self number, because there is not a number n which added to its sum of digits gives 812463200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812463203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65495 + ... + 76905.

It is an arithmetic number, because the mean of its divisors is an integer number (27859545).

Almost surely, 2^812463200 is an apocalyptic number.

812463200 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 812463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002943620).

812463200 is an abundant number, since it is smaller than the sum of its proper divisors (1193424040).

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

812463200 is a wasteful number, since it uses less digits than its factorization.

812463200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11520 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 812463200 is about 28503.7401054669. The cubic root of 812463200 is about 933.1137011546.

The spelling of 812463200 in words is "eight hundred twelve million, four hundred sixty-three thousand, two hundred".