812851200 has 630 divisors, whose sum is σ = 3502800081. Its totient is φ = 185794560.

The previous prime is 812851157. The next prime is 812851219. The reversal of 812851200 is 2158218.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 7! ⋅ (2!)².

It can be written as a sum of positive squares in 2 ways, for example, as 796594176 + 16257024 = 28224^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20160.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 116121597 + ... + 116121603.

Almost surely, 2^812851200 is an apocalyptic number.

812851200 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 812851200

812851200 is an abundant number, since it is smaller than the sum of its proper divisors (2689948881).

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

812851200 is an equidigital number, since it uses as much as digits as its factorization.

812851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 812851200 is about 28510.5454174416. The cubic root of 812851200 is about 933.2622168035.

The spelling of 812851200 in words is "eight hundred twelve million, eight hundred fifty-one thousand, two hundred".