677728577 has 2 divisors, whose sum is σ = 677728578. Its totient is φ = 677728576.

The previous prime is 677728561. The next prime is 677728589. The reversal of 677728577 is 775827776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 646379776 + 31348801 = 25424^2 + 5599^2 .

It is a cyclic number.

It is not a de Polignac number, because 677728577 - 2⁴ = 677728561 is a prime.

It is not a weakly prime, because it can be changed into another prime (677728507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338864288 + 338864289.

It is an arithmetic number, because the mean of its divisors is an integer number (338864289).

Almost surely, 2^677728577 is an apocalyptic number.

It is an amenable number.

677728577 is a deficient number, since it is larger than the sum of its proper divisors (1).

677728577 is an equidigital number, since it uses as much as digits as its factorization.

677728577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8067360, while the sum is 56.

The square root of 677728577 is about 26033.2206420950. The cubic root of 677728577 is about 878.3857186723.

The spelling of 677728577 in words is "six hundred seventy-seven million, seven hundred twenty-eight thousand, five hundred seventy-seven".