812400204 has 288 divisors, whose sum is σ = 2588737536. Its totient is φ = 195592320.

The previous prime is 812400191. The next prime is 812400209. The reversal of 812400204 is 402004218.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812400209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6396789 + ... + 6396915.

It is an arithmetic number, because the mean of its divisors is an integer number (8988672).

Almost surely, 2^812400204 is an apocalyptic number.

812400204 is a gapful number since it is divisible by the number (84) 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 812400204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294368768).

812400204 is an abundant number, since it is smaller than the sum of its proper divisors (1776337332).

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

812400204 is a wasteful number, since it uses less digits than its factorization.

812400204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 812400204 is about 28502.6350360804. The cubic root of 812400204 is about 933.0895835700.

The spelling of 812400204 in words is "eight hundred twelve million, four hundred thousand, two hundred four".