802560 has 144 divisors (see below), whose sum is σ = 2943360. Its totient is φ = 184320.

The previous prime is 802531. The next prime is 802573. The reversal of 802560 is 65208.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

802560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42231 + ... + 42249.

It is an arithmetic number, because the mean of its divisors is an integer number (20440).

2⁸⁰²⁵⁶⁰ is an apocalyptic number.

802560 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 802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471680).

802560 is an abundant number, since it is smaller than the sum of its proper divisors (2140800).

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

802560 is a wasteful number, since it uses less digits than its factorization.

802560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 802560 is about 895.8571314668. The cubic root of 802560 is about 92.9306917995.

Adding to 802560 its reverse (65208), we get a palindrome (867768).

The spelling of 802560 in words is "eight hundred two thousand, five hundred sixty".