5005880 has 64 divisors (see below), whose sum is σ = 12718080. Its totient is φ = 1756800.

The previous prime is 5005877. The next prime is 5005883. The reversal of 5005880 is 885005.

It is an interprime number because it is at equal distance from previous prime (5005877) and next prime (5005883).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005883) 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, 13457 + ... + 13823.

It is an arithmetic number, because the mean of its divisors is an integer number (198720).

Almost surely, 2^5005880 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 5005880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359040).

5005880 is an abundant number, since it is smaller than the sum of its proper divisors (7712200).

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

5005880 is a wasteful number, since it uses less digits than its factorization.

5005880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 5005880 is about 2237.3823991441. The cubic root of 5005880 is about 171.0645994658.

It can be divided in two parts, 5005 and 880, that added together give a palindrome (5885).

The spelling of 5005880 in words is "five million, five thousand, eight hundred eighty".