811000 has 32 divisors (see below), whose sum is σ = 1900080. Its totient is φ = 324000.

The previous prime is 810989. The next prime is 811037. The reversal of 811000 is 118.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

811000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595 + ... + 1405.

2⁸¹¹⁰⁰⁰ 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 811000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950040).

811000 is an abundant number, since it is smaller than the sum of its proper divisors (1089080).

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

811000 is a wasteful number, since it uses less digits than its factorization.

811000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 811000 is about 900.5553841936. Note that the first 3 decimals coincide. The cubic root of 811000 is about 93.2553202982.

Adding to 811000 its reverse (118), we get a palindrome (811118).

It can be divided in two parts, 81 and 1000, that added together give a triangular number (1081 = T₄₆).

The spelling of 811000 in words is "eight hundred eleven thousand".