812095200 has 576 divisors, whose sum is σ = 3464778240. Its totient is φ = 179712000.

The previous prime is 812095183. The next prime is 812095213. The reversal of 812095200 is 2590218.

It is a super-2 number, since 2×812095200² = 1318997227726080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6199135 + ... + 6199265.

It is an arithmetic number, because the mean of its divisors is an integer number (6015240).

Almost surely, 2^812095200 is an apocalyptic number.

812095200 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 812095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732389120).

812095200 is an abundant number, since it is smaller than the sum of its proper divisors (2652683040).

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

812095200 is a wasteful number, since it uses less digits than its factorization.

812095200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 812095200 is about 28497.2840811190. The cubic root of 812095200 is about 932.9727972549.

The spelling of 812095200 in words is "eight hundred twelve million, ninety-five thousand, two hundred".