811900 has 36 divisors (see below), whose sum is σ = 1843632. Its totient is φ = 309760.

The previous prime is 811897. The next prime is 811919. The reversal of 811900 is 9118.

811900 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×811900² = 1318363220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2124 + ... + 2476.

It is an arithmetic number, because the mean of its divisors is an integer number (51212).

2⁸¹¹⁹⁰⁰ 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 811900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921816).

811900 is an abundant number, since it is smaller than the sum of its proper divisors (1031732).

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

811900 is a wasteful number, since it uses less digits than its factorization.

811900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 811900 is about 901.0549372819. The cubic root of 811900 is about 93.2898039647.

It can be divided in two parts, 811 and 900, that added together give a triangular number (1711 = T₅₈).

The spelling of 811900 in words is "eight hundred eleven thousand, nine hundred".