77000257 has 2 divisors, whose sum is σ = 77000258. Its totient is φ = 77000256.

The previous prime is 77000233. The next prime is 77000269. The reversal of 77000257 is 75200077.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64496961 + 12503296 = 8031^2 + 3536^2 .

It is a cyclic number.

It is not a de Polignac number, because 77000257 - 2¹⁵ = 76967489 is a prime.

It is not a weakly prime, because it can be changed into another prime (77000207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38500128 + 38500129.

It is an arithmetic number, because the mean of its divisors is an integer number (38500129).

Almost surely, 2^77000257 is an apocalyptic number.

It is an amenable number.

77000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

77000257 is an equidigital number, since it uses as much as digits as its factorization.

77000257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3430, while the sum is 28.

The square root of 77000257 is about 8774.9790313140. The cubic root of 77000257 is about 425.4325598272.

The spelling of 77000257 in words is "seventy-seven million, two hundred fifty-seven", and thus it is an aban number.