27768 has 32 divisors (see below), whose sum is σ = 75600. Its totient is φ = 8448.

The previous prime is 27767. The next prime is 27773. The reversal of 27768 is 86772.

27768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 13.

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 27768.

It is not an unprimeable number, because it can be changed into a prime (27763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268 + ... + 356.

2²⁷⁷⁶⁸ 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 27768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

27768 is an abundant number, since it is smaller than the sum of its proper divisors (47832).

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

27768 is a wasteful number, since it uses less digits than its factorization.

27768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 27768 is about 166.6373307515. The cubic root of 27768 is about 30.2817893166.

It can be divided in two parts, 27 and 768, that multiplied together give a 4-th power (20736 = 12⁴).

The spelling of 27768 in words is "twenty-seven thousand, seven hundred sixty-eight".