802580 has 12 divisors (see below), whose sum is σ = 1685460. Its totient is φ = 321024.

The previous prime is 802573. The next prime is 802583. The reversal of 802580 is 85208.

802580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 698896 = 322^2 + 836^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 802580.

It is not an unprimeable number, because it can be changed into a prime (802583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20045 + ... + 20084.

It is an arithmetic number, because the mean of its divisors is an integer number (140455).

2⁸⁰²⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

802580 is an abundant number, since it is smaller than the sum of its proper divisors (882880).

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

802580 is a wasteful number, since it uses less digits than its factorization.

802580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40138 (or 40136 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 802580 is about 895.8682938915. The cubic root of 802580 is about 92.9314637453.

Adding to 802580 its reverse (85208), we get a palindrome (887788).

The spelling of 802580 in words is "eight hundred two thousand, five hundred eighty".