812318000 has 160 divisors (see below), whose sum is σ = 2139446400. Its totient is φ = 296524800.

The previous prime is 812317991. The next prime is 812318011. The reversal of 812318000 is 813218.

812318000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4081901 + ... + 4082099.

It is an arithmetic number, because the mean of its divisors is an integer number (13371540).

Almost surely, 2^812318000 is an apocalyptic number.

812318000 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 812318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069723200).

812318000 is an abundant number, since it is smaller than the sum of its proper divisors (1327128400).

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

812318000 is a wasteful number, since it uses less digits than its factorization.

812318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 812318000 is about 28501.1929574886. The cubic root of 812318000 is about 933.0581104598.

The spelling of 812318000 in words is "eight hundred twelve million, three hundred eighteen thousand".