768966 has 32 divisors (see below), whose sum is σ = 1714176. Its totient is φ = 228000.

The previous prime is 768953. The next prime is 768979. The reversal of 768966 is 669867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (768953) and next prime (768979).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3931 + ... + 4121.

It is an arithmetic number, because the mean of its divisors is an integer number (53568).

2⁷⁶⁸⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088).

768966 is an abundant number, since it is smaller than the sum of its proper divisors (945210).

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

768966 is a wasteful number, since it uses less digits than its factorization.

768966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

The product of its digits is 108864, while the sum is 42.

The square root of 768966 is about 876.9070646311. The cubic root of 768966 is about 91.6155189409.

Subtracting from 768966 its reverse (669867), we obtain a palindrome (99099).

The spelling of 768966 in words is "seven hundred sixty-eight thousand, nine hundred sixty-six".