5978880 has 144 divisors (see below), whose sum is σ = 21339360. Its totient is φ = 1585152.

The previous prime is 5978857. The next prime is 5978887. The reversal of 5978880 is 888795.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5978887) 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, 34474 + ... + 34646.

It is an arithmetic number, because the mean of its divisors is an integer number (148190).

Almost surely, 2^5978880 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 5978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10669680).

5978880 is an abundant number, since it is smaller than the sum of its proper divisors (15360480).

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

5978880 is a wasteful number, since it uses less digits than its factorization.

5978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 5978880 is about 2445.1748403744. The cubic root of 5978880 is about 181.4985998116.

The spelling of 5978880 in words is "five million, nine hundred seventy-eight thousand, eight hundred eighty".