5078160 has 80 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1353600.

The previous prime is 5078123. The next prime is 5078167. The reversal of 5078160 is 618705.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (5078167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985 + ... + 3335.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 2^5078160 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 5078160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

5078160 is an abundant number, since it is smaller than the sum of its proper divisors (12420720).

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

5078160 is a wasteful number, since it uses less digits than its factorization.

5078160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5078160 is about 2253.4773129544. The cubic root of 5078160 is about 171.8840032749.

It can be divided in two parts, 50 and 78160, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 5078160 in words is "five million, seventy-eight thousand, one hundred sixty".