815280 has 80 divisors (see below), whose sum is σ = 2618880. Its totient is φ = 209664.

The previous prime is 815279. The next prime is 815291. The reversal of 815280 is 82518.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 815280.

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 815280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10281 + ... + 10359.

It is an arithmetic number, because the mean of its divisors is an integer number (32736).

2⁸¹⁵²⁸⁰ is an apocalyptic number.

815280 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 815280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309440).

815280 is an abundant number, since it is smaller than the sum of its proper divisors (1803600).

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

815280 is a wasteful number, since it uses less digits than its factorization.

815280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 815280 is about 902.9285686033. The cubic root of 815280 is about 93.4190821929.

Adding to 815280 its reverse (82518), we get a palindrome (897798).

The spelling of 815280 in words is "eight hundred fifteen thousand, two hundred eighty".