812797200 has 480 divisors, whose sum is σ = 3238185600. Its totient is φ = 192430080.

The previous prime is 812797187. The next prime is 812797201. The reversal of 812797200 is 2797218.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (812797201) 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 95 ways as a sum of consecutive naturals, for example, 3488284 + ... + 3488516.

It is an arithmetic number, because the mean of its divisors is an integer number (6746220).

Almost surely, 2^812797200 is an apocalyptic number.

812797200 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 812797200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619092800).

812797200 is an abundant number, since it is smaller than the sum of its proper divisors (2425388400).

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

812797200 is a wasteful number, since it uses less digits than its factorization.

812797200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 812797200 is about 28509.5983837023. The cubic root of 812797200 is about 933.2415499313.

The spelling of 812797200 in words is "eight hundred twelve million, seven hundred ninety-seven thousand, two hundred".