5378880 has 112 divisors (see below), whose sum is σ = 18434304. Its totient is φ = 1320960.

The previous prime is 5378869. The next prime is 5378899. The reversal of 5378880 is 888735.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12265 + ... + 12695.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 2^5378880 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 5378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152).

5378880 is an abundant number, since it is smaller than the sum of its proper divisors (13055424).

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

5378880 is a wasteful number, since it uses less digits than its factorization.

5378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 5378880 is about 2319.2412552384. The cubic root of 5378880 is about 175.2120422906.

It can be divided in two parts, 5 and 378880, that added together give a triangular number (378885 = T₈₇₀).

The spelling of 5378880 in words is "five million, three hundred seventy-eight thousand, eight hundred eighty".