66777 has 4 divisors (see below), whose sum is σ = 89040. Its totient is φ = 44516.

The previous prime is 66763. The next prime is 66791. The reversal of 66777 is 77766.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (66763) and next prime (66791).

It is a cyclic number.

It is not a de Polignac number, because 66777 - 2⁶ = 66713 is a prime.

It is a D-number.

It is a plaindrome in base 10 and base 15.

It is a zygodrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66777.

It is not an unprimeable number, because it can be changed into a prime (66797) 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, 11127 + ... + 11132.

It is an arithmetic number, because the mean of its divisors is an integer number (22260).

2⁶⁶⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

66777 is a deficient number, since it is larger than the sum of its proper divisors (22263).

66777 is a wasteful number, since it uses less digits than its factorization.

66777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22262.

The product of its digits is 12348, while the sum is 33.

The square root of 66777 is about 258.4124609999. The cubic root of 66777 is about 40.5703699623.

The spelling of 66777 in words is "sixty-six thousand, seven hundred seventy-seven".