812738800 has 60 divisors (see below), whose sum is σ = 1966990176. Its totient is φ = 322700800.

The previous prime is 812738791. The next prime is 812738809. The reversal of 812738800 is 8837218.

It is an interprime number because it is at equal distance from previous prime (812738791) and next prime (812738809).

It is a self number, because there is not a number n which added to its sum of digits gives 812738800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812738809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47385 + ... + 62215.

Almost surely, 2^812738800 is an apocalyptic number.

812738800 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 812738800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983495088).

812738800 is an abundant number, since it is smaller than the sum of its proper divisors (1154251376).

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

812738800 is a wasteful number, since it uses less digits than its factorization.

812738800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14986 (or 14975 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 812738800 is about 28508.5741488416. The cubic root of 812738800 is about 933.2191980614.

The spelling of 812738800 in words is "eight hundred twelve million, seven hundred thirty-eight thousand, eight hundred".