76768 has 12 divisors (see below), whose sum is σ = 151200. Its totient is φ = 38368.

The previous prime is 76757. The next prime is 76771. The reversal of 76768 is 86767.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1168 + ... + 1231.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2⁷⁶⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

76768 is a deficient number, since it is larger than the sum of its proper divisors (74432).

76768 is a wasteful number, since it uses less digits than its factorization.

76768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2401 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 76768 is about 277.0703881688. The cubic root of 76768 is about 42.5004382884.

Subtracting 76768 from its reverse (86767), we obtain a palindrome (9999).

The spelling of 76768 in words is "seventy-six thousand, seven hundred sixty-eight".