325800 has 72 divisors (see below), whose sum is σ = 1100190. Its totient is φ = 86400.

The previous prime is 325783. The next prime is 325807. The reversal of 325800 is 8523.

It can be written as a sum of positive squares in 3 ways, for example, as 133956 + 191844 = 366^2 + 438^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×325800² = 212291280000, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 325800.

It is not an unprimeable number, because it can be changed into a prime (325807) by changing a digit.

325800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1710 + ... + 1890.

2³²⁵⁸⁰⁰ is an apocalyptic number.

325800 is a gapful number since it is divisible by the number (30) 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 325800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550095).

325800 is an abundant number, since it is smaller than the sum of its proper divisors (774390).

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

325800 is a wasteful number, since it uses less digits than its factorization.

325800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

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

The square root of 325800 is about 570.7889277132. The cubic root of 325800 is about 68.8098102110.

It can be divided in two parts, 32 and 5800, that added together give a cube (5832 = 18³).

The spelling of 325800 in words is "three hundred twenty-five thousand, eight hundred".