77966 has 8 divisors (see below), whose sum is σ = 133680. Its totient is φ = 33408.

The previous prime is 77951. The next prime is 77969. The reversal of 77966 is 66977.

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

It is a nialpdrome in base 5 and base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2771 + ... + 2798.

It is an arithmetic number, because the mean of its divisors is an integer number (16710).

2⁷⁷⁹⁶⁶ is an apocalyptic number.

77966 is a deficient number, since it is larger than the sum of its proper divisors (55714).

77966 is a wasteful number, since it uses less digits than its factorization.

77966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578.

The product of its digits is 15876, while the sum is 35.

The square root of 77966 is about 279.2239244764. The cubic root of 77966 is about 42.7203777782.

The spelling of 77966 in words is "seventy-seven thousand, nine hundred sixty-six".