68777 has 2 divisors, whose sum is σ = 68778. Its totient is φ = 68776.

The previous prime is 68771. The next prime is 68791. The reversal of 68777 is 77786.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63001 + 5776 = 251^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 68777 - 2⁶ = 68713 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 6⁶ + 8³ + 7⁴ + 7⁴ + 7⁵ .

It is not a weakly prime, because it can be changed into another prime (68771) 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 as a sum of consecutive naturals, namely, 34388 + 34389.

It is an arithmetic number, because the mean of its divisors is an integer number (34389).

2⁶⁸⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

68777 is a deficient number, since it is larger than the sum of its proper divisors (1).

68777 is an equidigital number, since it uses as much as digits as its factorization.

68777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16464, while the sum is 35.

The square root of 68777 is about 262.2536939683. The cubic root of 68777 is about 40.9714256583.

Subtracting 68777 from its reverse (77786), we obtain a palindrome (9009).

The spelling of 68777 in words is "sixty-eight thousand, seven hundred seventy-seven".