812083200 has 288 divisors, whose sum is σ = 2851692480. Its totient is φ = 203161600.

The previous prime is 812083189. The next prime is 812083211. The reversal of 812083200 is 2380218.

It is an interprime number because it is at equal distance from previous prime (812083189) and next prime (812083211).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2611045 + ... + 2611355.

It is an arithmetic number, because the mean of its divisors is an integer number (9901710).

Almost surely, 2^812083200 is an apocalyptic number.

812083200 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 812083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425846240).

812083200 is an abundant number, since it is smaller than the sum of its proper divisors (2039609280).

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

812083200 is a wasteful number, since it uses less digits than its factorization.

812083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 812083200 is about 28497.0735339613. The cubic root of 812083200 is about 932.9682018459.

The spelling of 812083200 in words is "eight hundred twelve million, eighty-three thousand, two hundred".