77795257 has 2 divisors, whose sum is σ = 77795258. Its totient is φ = 77795256.

The previous prime is 77795251. The next prime is 77795273. The reversal of 77795257 is 75259777.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71723961 + 6071296 = 8469^2 + 2464^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77795257 is a prime.

It is a super-3 number, since 3×77795257³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77795257.

It is not a weakly prime, because it can be changed into another prime (77795251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38897628 + 38897629.

It is an arithmetic number, because the mean of its divisors is an integer number (38897629).

Almost surely, 2^77795257 is an apocalyptic number.

It is an amenable number.

77795257 is a deficient number, since it is larger than the sum of its proper divisors (1).

77795257 is an equidigital number, since it uses as much as digits as its factorization.

77795257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080450, while the sum is 49.

The square root of 77795257 is about 8820.1619599642. The cubic root of 77795257 is about 426.8916957357.

It can be divided in two parts, 7 and 7795257, that added together give a square (7795264 = 2792²).

The spelling of 77795257 in words is "seventy-seven million, seven hundred ninety-five thousand, two hundred fifty-seven".