327820 has 24 divisors (see below), whose sum is σ = 708624. Its totient is φ = 127296.

The previous prime is 327809. The next prime is 327823. The reversal of 327820 is 28723.

It is a happy number.

It is a d-powerful number, because it can be written as 3³ + 2¹⁶ + 8² + 7² + 2¹⁸ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 327791 and 327800.

It is not an unprimeable number, because it can be changed into a prime (327823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519 + ... + 961.

It is an arithmetic number, because the mean of its divisors is an integer number (29526).

2³²⁷⁸²⁰ 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 327820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354312).

327820 is an abundant number, since it is smaller than the sum of its proper divisors (380804).

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

327820 is a wasteful number, since it uses less digits than its factorization.

327820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 327820 is about 572.5556741488. Note that the first 3 decimals coincide. The cubic root of 327820 is about 68.9517270703.

The spelling of 327820 in words is "three hundred twenty-seven thousand, eight hundred twenty".