5178880 has 120 divisors (see below), whose sum is σ = 15074928. Its totient is φ = 1671168.

The previous prime is 5178871. The next prime is 5178889. The reversal of 5178880 is 888715.

It is an interprime number because it is at equal distance from previous prime (5178871) and next prime (5178889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5178889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304632 + ... + 304648.

Almost surely, 2^5178880 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 5178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537464).

5178880 is an abundant number, since it is smaller than the sum of its proper divisors (9896048).

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

5178880 is an equidigital number, since it uses as much as digits as its factorization.

5178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 37.

The square root of 5178880 is about 2275.7152721727. The cubic root of 5178880 is about 173.0129519077.

Multiplying 5178880 by its product of nonzero digits (17920), we get a square (92805529600 = 304640²).

5178880 divided by its product of nonzero digits (17920) gives a square (289 = 17²).

The spelling of 5178880 in words is "five million, one hundred seventy-eight thousand, eight hundred eighty".