5120880 has 80 divisors (see below), whose sum is σ = 16725120. Its totient is φ = 1292544.

The previous prime is 5120879. The next prime is 5120887. The reversal of 5120880 is 880215.

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 5120880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120887) 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, 3999 + ... + 5121.

It is an arithmetic number, because the mean of its divisors is an integer number (209064).

Almost surely, 2^5120880 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 5120880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8362560).

5120880 is an abundant number, since it is smaller than the sum of its proper divisors (11604240).

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

5120880 is a wasteful number, since it uses less digits than its factorization.

5120880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1152 counting only the distinct ones).

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

The square root of 5120880 is about 2262.9361458070. The cubic root of 5120880 is about 172.3646491292.

The spelling of 5120880 in words is "five million, one hundred twenty thousand, eight hundred eighty".