276768 has 54 divisors (see below), whose sum is σ = 813267. Its totient is φ = 89280.

The previous prime is 276767. The next prime is 276779. The reversal of 276768 is 867672.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

276768 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 only one way, i.e., 138384 + 138384 = 372^2 + 372^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=372.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (28224) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 276768.

It is not an unprimeable number, because it can be changed into a prime (276763) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8913 + ... + 8943.

2²⁷⁶⁷⁶⁸ 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 276768

276768 is an abundant number, since it is smaller than the sum of its proper divisors (536499).

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

276768 is a wasteful number, since it uses less digits than its factorization.

276768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 276768 is about 526.0874452028. The cubic root of 276768 is about 65.1686350954.

The spelling of 276768 in words is "two hundred seventy-six thousand, seven hundred sixty-eight".