5805000 has 160 divisors (see below), whose sum is σ = 20618400. Its totient is φ = 1512000.

The previous prime is 5804989. The next prime is 5805011. The reversal of 5805000 is 5085.

It is an interprime number because it is at equal distance from previous prime (5804989) and next prime (5805011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134979 + ... + 135021.

It is an arithmetic number, because the mean of its divisors is an integer number (128865).

Almost surely, 2^5805000 is an apocalyptic number.

5805000 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 5805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309200).

5805000 is an abundant number, since it is smaller than the sum of its proper divisors (14813400).

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

5805000 is a wasteful number, since it uses less digits than its factorization.

5805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5805000 is about 2409.3567606314. The cubic root of 5805000 is about 179.7217924469.

The spelling of 5805000 in words is "five million, eight hundred five thousand".