812107200 has 168 divisors, whose sum is σ = 2695742640. Its totient is φ = 214016000.

The previous prime is 812107171. The next prime is 812107229. The reversal of 812107200 is 2701218.

It is an interprime number because it is at equal distance from previous prime (812107171) and next prime (812107229).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426250 + ... + 428150.

Almost surely, 2^812107200 is an apocalyptic number.

812107200 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 812107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347871320).

812107200 is an abundant number, since it is smaller than the sum of its proper divisors (1883635440).

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

812107200 is a wasteful number, since it uses less digits than its factorization.

812107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 812107200 is about 28497.4946267211. The cubic root of 812107200 is about 932.9773926186.

Adding to 812107200 its reverse (2701218), we get a palindrome (814808418).

It can be divided in two parts, 81210 and 7200, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 812107200 in words is "eight hundred twelve million, one hundred seven thousand, two hundred".