327978 has 48 divisors (see below), whose sum is σ = 861120. Its totient is φ = 88128.

The previous prime is 327967. The next prime is 327979. The reversal of 327978 is 879723.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (21168) is a multiple of the sum of its prime divisors (168).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327978.

It is not an unprimeable number, because it can be changed into a prime (327979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2326 + ... + 2462.

It is an arithmetic number, because the mean of its divisors is an integer number (17940).

2³²⁷⁹⁷⁸ is an apocalyptic number.

327978 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 327978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430560).

327978 is an abundant number, since it is smaller than the sum of its proper divisors (533142).

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

327978 is a wasteful number, since it uses less digits than its factorization.

327978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 168 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 327978 is about 572.6936353758. The cubic root of 327978 is about 68.9628028874.

The spelling of 327978 in words is "three hundred twenty-seven thousand, nine hundred seventy-eight".