76766 has 8 divisors (see below), whose sum is σ = 116424. Its totient is φ = 37960.

The previous prime is 76757. The next prime is 76771. The reversal of 76766 is 66767.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

76766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (14553).

2⁷⁶⁷⁶⁶ is an apocalyptic number.

76766 is a deficient number, since it is larger than the sum of its proper divisors (39658).

76766 is a wasteful number, since it uses less digits than its factorization.

76766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426.

The product of its digits is 10584, while the sum is 32.

The square root of 76766 is about 277.0667789541. The cubic root of 76766 is about 42.5000692040.

Subtracting from 76766 its reverse (66767), we obtain a palindrome (9999).

It can be divided in two parts, 7676 and 6, that multiplied together give a triangular number (46056 = T₃₀₃).

The spelling of 76766 in words is "seventy-six thousand, seven hundred sixty-six".