810900 has 108 divisors (see below), whose sum is σ = 2742012. Its totient is φ = 199680.

The previous prime is 810893. The next prime is 810907. The reversal of 810900 is 9018.

It is an interprime number because it is at equal distance from previous prime (810893) and next prime (810907).

It can be written as a sum of positive squares in 6 ways, for example, as 11664 + 799236 = 108^2 + 894^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810907) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 15274 + ... + 15326.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2⁸¹⁰⁹⁰⁰ is an apocalyptic number.

It is a pronic number, being equal to 900×901.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371006).

810900 is an abundant number, since it is smaller than the sum of its proper divisors (1931112).

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

810900 is a wasteful number, since it uses less digits than its factorization.

810900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 810900 is about 900.4998611882. The cubic root of 810900 is about 93.2514872052.

Adding to 810900 its reverse (9018), we get a palindrome (819918).

It can be divided in two parts, 810 and 900, that multiplied together give a cube (729000 = 90³).

The spelling of 810900 in words is "eight hundred ten thousand, nine hundred".