327808 has 32 divisors (see below), whose sum is σ = 706860. Its totient is φ = 150528.

The previous prime is 327799. The next prime is 327809. The reversal of 327808 is 808723.

It is a happy number.

327808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 322624 + 5184 = 568^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (327809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1566 + ... + 1762.

2³²⁷⁸⁰⁸ 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 327808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353430).

327808 is an abundant number, since it is smaller than the sum of its proper divisors (379052).

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

327808 is a wasteful number, since it uses less digits than its factorization.

327808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 327808 is about 572.5451947227. The cubic root of 327808 is about 68.9508857236.

The spelling of 327808 in words is "three hundred twenty-seven thousand, eight hundred eight".