5280 has 48 divisors (see below), whose sum is σ = 18144. Its totient is φ = 1280.

The previous prime is 5279. The next prime is 5281. The reversal of 5280 is 825.

Added to its reverse (825) it gives a triangular number (6105 = T₁₁₀).

It is an interprime number because it is at equal distance from previous prime (5279) and next prime (5281).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (378).

2⁵²⁸⁰ 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 5280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072).

5280 is an abundant number, since it is smaller than the sum of its proper divisors (12864).

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

5280 is a wasteful number, since it uses less digits than its factorization.

5280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5280 is about 72.6636084983. The cubic root of 5280 is about 17.4131753823.

5280 divided by its product of nonzero digits (80) gives a palindrome (66).

Adding to 5280 its reverse (825), we get a triangular number (6105 = T₁₁₀).

The spelling of 5280 in words is "five thousand, two hundred eighty".