812081200 has 240 divisors, whose sum is σ = 2355295680. Its totient is φ = 263208960.

The previous prime is 812081197. The next prime is 812081233. The reversal of 812081200 is 2180218.

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 47 ways as a sum of consecutive naturals, for example, 5927532 + ... + 5927668.

It is an arithmetic number, because the mean of its divisors is an integer number (9813732).

Almost surely, 2^812081200 is an apocalyptic number.

812081200 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 812081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177647840).

812081200 is an abundant number, since it is smaller than the sum of its proper divisors (1543214480).

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

812081200 is a wasteful number, since it uses less digits than its factorization.

812081200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 812081200 is about 28497.0384426172. The cubic root of 812081200 is about 932.9674359400.

The spelling of 812081200 in words is "eight hundred twelve million, eighty-one thousand, two hundred".