812900 has 36 divisors (see below), whose sum is σ = 1926960. Its totient is φ = 295200.

The previous prime is 812869. The next prime is 812921. The reversal of 812900 is 9218.

812900 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 (20).

It is an unprimeable number.

812900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731 + ... + 1469.

2⁸¹²⁹⁰⁰ 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 812900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963480).

812900 is an abundant number, since it is smaller than the sum of its proper divisors (1114060).

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

812900 is a wasteful number, since it uses less digits than its factorization.

812900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 812900 is about 901.6096716429. The cubic root of 812900 is about 93.3280892745.

The spelling of 812900 in words is "eight hundred twelve thousand, nine hundred".