327768 has 32 divisors (see below), whose sum is σ = 936960. Its totient is φ = 93600.

The previous prime is 327757. The next prime is 327779. The reversal of 327768 is 867723.

It is an interprime number because it is at equal distance from previous prime (327757) and next prime (327779).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

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 327768.

It is an unprimeable number.

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, 808 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (29280).

2³²⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

327768 is an abundant number, since it is smaller than the sum of its proper divisors (609192).

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

327768 is a wasteful number, since it uses less digits than its factorization.

327768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1963 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 327768 is about 572.5102619168. The cubic root of 327768 is about 68.9480810863.

The spelling of 327768 in words is "three hundred twenty-seven thousand, seven hundred sixty-eight".