811906200 has 384 divisors, whose sum is σ = 3271219200. Its totient is φ = 181232640.

The previous prime is 811906169. The next prime is 811906237. The reversal of 811906200 is 2609118.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1776372 + ... + 1776828.

It is an arithmetic number, because the mean of its divisors is an integer number (8518800).

Almost surely, 2^811906200 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 811906200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635609600).

811906200 is an abundant number, since it is smaller than the sum of its proper divisors (2459313000).

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

811906200 is a wasteful number, since it uses less digits than its factorization.

811906200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 811906200 is about 28493.9677826729. The cubic root of 811906200 is about 932.9004143045.

The spelling of 811906200 in words is "eight hundred eleven million, nine hundred six thousand, two hundred".