5980800 has 192 divisors, whose sum is σ = 22766400. Its totient is φ = 1351680.

The previous prime is 5980781. The next prime is 5980829. The reversal of 5980800 is 80895.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67156 + ... + 67244.

It is an arithmetic number, because the mean of its divisors is an integer number (118575).

Almost surely, 2^5980800 is an apocalyptic number.

5980800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383200).

5980800 is an abundant number, since it is smaller than the sum of its proper divisors (16785600).

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

5980800 is a wasteful number, since it uses less digits than its factorization.

5980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 5980800 is about 2445.5674188212. The cubic root of 5980800 is about 181.5180259704.

The spelling of 5980800 in words is "five million, nine hundred eighty thousand, eight hundred".