810120 has 64 divisors (see below), whose sum is σ = 2502720. Its totient is φ = 209664.

The previous prime is 810109. The next prime is 810137. The reversal of 810120 is 21018.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 810096 and 810105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5082 + ... + 5238.

It is an arithmetic number, because the mean of its divisors is an integer number (39105).

2⁸¹⁰¹²⁰ 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 810120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251360).

810120 is an abundant number, since it is smaller than the sum of its proper divisors (1692600).

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

810120 is a wasteful number, since it uses less digits than its factorization.

810120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 810120 is about 900.0666641977. The cubic root of 810120 is about 93.2215782587.

Adding to 810120 its reverse (21018), we get a palindrome (831138).

The spelling of 810120 in words is "eight hundred ten thousand, one hundred twenty".