809120 has 48 divisors (see below), whose sum is σ = 2063880. Its totient is φ = 297984.

The previous prime is 809101. The next prime is 809141. The reversal of 809120 is 21908.

It can be written as a sum of positive squares in 4 ways, for example, as 394384 + 414736 = 628^2 + 644^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 809092 and 809101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1886 + ... + 2274.

2⁸⁰⁹¹²⁰ is an apocalyptic number.

809120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031940).

809120 is an abundant number, since it is smaller than the sum of its proper divisors (1254760).

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

809120 is a wasteful number, since it uses less digits than its factorization.

809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 809120 is about 899.5109782543. The cubic root of 809120 is about 93.1832053585.

It can be divided in two parts, 809 and 120, that added together give a palindrome (929).

The spelling of 809120 in words is "eight hundred nine thousand, one hundred twenty".