812547200 has 96 divisors (see below), whose sum is σ = 2072248320. Its totient is φ = 314496000.

The previous prime is 812547199. The next prime is 812547247. The reversal of 812547200 is 2745218.

It is an unprimeable number.

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, 95105 + ... + 103295.

It is an arithmetic number, because the mean of its divisors is an integer number (21585920).

Almost surely, 2^812547200 is an apocalyptic number.

812547200 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 812547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036124160).

812547200 is an abundant number, since it is smaller than the sum of its proper divisors (1259701120).

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

812547200 is a wasteful number, since it uses less digits than its factorization.

812547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 812547200 is about 28505.2135582247. The cubic root of 812547200 is about 933.1458580366.

The spelling of 812547200 in words is "eight hundred twelve million, five hundred forty-seven thousand, two hundred".