809340 has 96 divisors (see below), whose sum is σ = 2709504. Its totient is φ = 176640.

The previous prime is 809339. The next prime is 809357. The reversal of 809340 is 43908.

809340 = 120² + 121² + ... + 160².

It is an Ulam number.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 809340.

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 31 ways as a sum of consecutive naturals, for example, 17197 + ... + 17243.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2⁸⁰⁹³⁴⁰ 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 809340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752).

809340 is an abundant number, since it is smaller than the sum of its proper divisors (1900164).

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

809340 is a wasteful number, since it uses less digits than its factorization.

809340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 809340 is about 899.6332586115. The cubic root of 809340 is about 93.1916501082.

The spelling of 809340 in words is "eight hundred nine thousand, three hundred forty".