812225800 has 96 divisors (see below), whose sum is σ = 1957374720. Its totient is φ = 313241600.

The previous prime is 812225783. The next prime is 812225809. The reversal of 812225800 is 8522218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812225809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 666792 + ... + 668008.

It is an arithmetic number, because the mean of its divisors is an integer number (20389320).

Almost surely, 2^812225800 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 812225800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978687360).

812225800 is an abundant number, since it is smaller than the sum of its proper divisors (1145148920).

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

812225800 is a wasteful number, since it uses less digits than its factorization.

812225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 812225800 is about 28499.5754354341. The cubic root of 812225800 is about 933.0228076954.

The spelling of 812225800 in words is "eight hundred twelve million, two hundred twenty-five thousand, eight hundred".