812889000 has 1024 divisors, whose sum is σ = 3881779200. Its totient is φ = 152064000.

The previous prime is 812888939. The next prime is 812889013. The reversal of 812889000 is 988218.

812889000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35342989 + ... + 35343011.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2^812889000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940889600).

812889000 is an abundant number, since it is smaller than the sum of its proper divisors (3068890200).

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

812889000 is a wasteful number, since it uses less digits than its factorization.

812889000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 812889000 is about 28511.2083223423. The cubic root of 812889000 is about 933.2766830695.

The spelling of 812889000 in words is "eight hundred twelve million, eight hundred eighty-nine thousand".