809280 has 84 divisors (see below), whose sum is σ = 2793492. Its totient is φ = 215040.

The previous prime is 809273. The next prime is 809297. The reversal of 809280 is 82908.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 389376 = 648^2 + 624^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2740 + ... + 3020.

2⁸⁰⁹²⁸⁰ is an apocalyptic number.

809280 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 809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396746).

809280 is an abundant number, since it is smaller than the sum of its proper divisors (1984212).

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

809280 is a wasteful number, since it uses less digits than its factorization.

809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 809280 is about 899.5999110716. The cubic root of 809280 is about 93.1893471464.

It can be divided in two parts, 809 and 280, that added together give a square (1089 = 33²).

The spelling of 809280 in words is "eight hundred nine thousand, two hundred eighty".