812645600 has 72 divisors (see below), whose sum is σ = 2136503880. Its totient is φ = 300049920.

The previous prime is 812645593. The next prime is 812645653. The reversal of 812645600 is 6546218.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28670 + ... + 49469.

It is an arithmetic number, because the mean of its divisors is an integer number (29673665).

Almost surely, 2^812645600 is an apocalyptic number.

812645600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812645600 is an abundant number, since it is smaller than the sum of its proper divisors (1323858280).

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

812645600 is a wasteful number, since it uses less digits than its factorization.

812645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78172 (or 78159 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 812645600 is about 28506.9395060220. The cubic root of 812645600 is about 933.1835247085.

The spelling of 812645600 in words is "eight hundred twelve million, six hundred forty-five thousand, six hundred".