812912200 has 72 divisors (see below), whose sum is σ = 1943137350. Its totient is φ = 316270080.

The previous prime is 812912189. The next prime is 812912227. The reversal of 812912200 is 2219218.

It can be written as a sum of positive squares in 9 ways, for example, as 96707556 + 716204644 = 9834^2 + 26762^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 272316 + ... + 275284.

Almost surely, 2^812912200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812912200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971568675).

812912200 is an abundant number, since it is smaller than the sum of its proper divisors (1130225150).

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

812912200 is a wasteful number, since it uses less digits than its factorization.

812912200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 812912200 is about 28511.6151769766. The cubic root of 812912200 is about 933.2855616139.

The spelling of 812912200 in words is "eight hundred twelve million, nine hundred twelve thousand, two hundred".