859800 has 48 divisors (see below), whose sum is σ = 2667240. Its totient is φ = 229120.

The previous prime is 859799. The next prime is 859801. The reversal of 859800 is 8958.

859800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (859799) and next prime (859801).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 859800.

It is not an unprimeable number, because it can be changed into a prime (859801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117 + ... + 1316.

2⁸⁵⁹⁸⁰⁰ 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 859800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333620).

859800 is an abundant number, since it is smaller than the sum of its proper divisors (1807440).

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

859800 is a wasteful number, since it uses less digits than its factorization.

859800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1443 counting only the distinct ones).

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

The square root of 859800 is about 927.2540105063. The cubic root of 859800 is about 95.0894817099.

The spelling of 859800 in words is "eight hundred fifty-nine thousand, eight hundred".