812084275200 has 576 divisors, whose sum is σ = 2937486988800. Its totient is φ = 196278681600.

The previous prime is 812084275193. The next prime is 812084275213. The reversal of 812084275200 is 2572480218.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883660341 + ... + 883661259.

It is an arithmetic number, because the mean of its divisors is an integer number (5099803800).

Almost surely, 2^812084275200 is an apocalyptic number.

812084275200 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 812084275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468743494400).

812084275200 is an abundant number, since it is smaller than the sum of its proper divisors (2125402713600).

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

812084275200 is a wasteful number, since it uses less digits than its factorization.

812084275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 812084275200 in words is "eight hundred twelve billion, eighty-four million, two hundred seventy-five thousand, two hundred".