812390400 has 432 divisors, whose sum is σ = 3049726680. Its totient is φ = 206438400.

The previous prime is 812390399. The next prime is 812390437. The reversal of 812390400 is 4093218.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18892779 + ... + 18892821.

Almost surely, 2^812390400 is an apocalyptic number.

812390400 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 812390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524863340).

812390400 is an abundant number, since it is smaller than the sum of its proper divisors (2237336280).

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

812390400 is a wasteful number, since it uses less digits than its factorization.

812390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 812390400 is about 28502.4630514628. The cubic root of 812390400 is about 933.0858300640.

The spelling of 812390400 in words is "eight hundred twelve million, three hundred ninety thousand, four hundred".