5808000 has 192 divisors, whose sum is σ = 21162960. Its totient is φ = 1408000.

The previous prime is 5807981. The next prime is 5808007. The reversal of 5808000 is 8085.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5808007) 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, 527995 + ... + 528005.

Almost surely, 2^5808000 is an apocalyptic number.

5808000 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 5808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581480).

5808000 is an abundant number, since it is smaller than the sum of its proper divisors (15354960).

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

5808000 is a wasteful number, since it uses less digits than its factorization.

5808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 5808000 is about 2409.9792530227. The cubic root of 5808000 is about 179.7527469415.

The spelling of 5808000 in words is "five million, eight hundred eight thousand".