803580 has 48 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 209728.

The previous prime is 803549. The next prime is 803587. The reversal of 803580 is 85308.

803580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 803580.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 803580.

It is not an unprimeable number, because it can be changed into a prime (803587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3427 + ... + 3653.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2⁸⁰³⁵⁸⁰ 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 803580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

803580 is an abundant number, since it is smaller than the sum of its proper divisors (1494660).

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

803580 is a wasteful number, since it uses less digits than its factorization.

803580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 803580 is about 896.4262379025. The cubic root of 803580 is about 92.9700446940.

Adding to 803580 its reverse (85308), we get a palindrome (888888).

The spelling of 803580 in words is "eight hundred three thousand, five hundred eighty".