812552000 has 168 divisors, whose sum is σ = 2182608792. Its totient is φ = 299520000.

The previous prime is 812551979. The next prime is 812552021. The reversal of 812552000 is 255218.

It is an interprime number because it is at equal distance from previous prime (812551979) and next prime (812552021).

It can be written as a sum of positive squares in 12 ways, for example, as 706709056 + 105842944 = 26584^2 + 10288^2 .

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, 1351700 + ... + 1352300.

It is an arithmetic number, because the mean of its divisors is an integer number (12991719).

Almost surely, 2^812552000 is an apocalyptic number.

812552000 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 812552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091304396).

812552000 is an abundant number, since it is smaller than the sum of its proper divisors (1370056792).

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

812552000 is a wasteful number, since it uses less digits than its factorization.

812552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 812552000 is about 28505.2977532248. The cubic root of 812552000 is about 933.1476955058.

The spelling of 812552000 in words is "eight hundred twelve million, five hundred fifty-two thousand".