5800320 has 192 divisors, whose sum is σ = 21481200. Its totient is φ = 1437696.

The previous prime is 5800303. The next prime is 5800321. The reversal of 5800320 is 230085.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 5800293 and 5800302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5800321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109414 + ... + 109466.

Almost surely, 2^5800320 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 5800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10740600).

5800320 is an abundant number, since it is smaller than the sum of its proper divisors (15680880).

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

5800320 is a wasteful number, since it uses less digits than its factorization.

5800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5800320 is about 2408.3853512260. The cubic root of 5800320 is about 179.6734821327.

The spelling of 5800320 in words is "five million, eight hundred thousand, three hundred twenty".