680077 has 2 divisors, whose sum is σ = 680078. Its totient is φ = 680076.

The previous prime is 680059. The next prime is 680081. The reversal of 680077 is 770086.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 546121 + 133956 = 739^2 + 366^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-680077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (680027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340038 + 340039.

It is an arithmetic number, because the mean of its divisors is an integer number (340039).

2⁶⁸⁰⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

680077 is a deficient number, since it is larger than the sum of its proper divisors (1).

680077 is an equidigital number, since it uses as much as digits as its factorization.

680077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 680077 is about 824.6678119097. The cubic root of 680077 is about 87.9399124932.

Subtracting 680077 from its reverse (770086), we obtain a palindrome (90009).

The spelling of 680077 in words is "six hundred eighty thousand, seventy-seven".