77240597657 has 2 divisors, whose sum is σ = 77240597658. Its totient is φ = 77240597656.

The previous prime is 77240597641. The next prime is 77240597659. The reversal of 77240597657 is 75679504277.

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., 74382198361 + 2858399296 = 272731^2 + 53464^2 .

It is a cyclic number.

It is not a de Polignac number, because 77240597657 - 2⁴ = 77240597641 is a prime.

It is a super-2 number, since 2×77240597657² (a number of 23 digits) contains 22 as substring.

Together with 77240597659, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 77240597596 and 77240597605.

It is not a weakly prime, because it can be changed into another prime (77240597659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38620298828 + 38620298829.

It is an arithmetic number, because the mean of its divisors is an integer number (38620298829).

Almost surely, 2^77240597657 is an apocalyptic number.

It is an amenable number.

77240597657 is a deficient number, since it is larger than the sum of its proper divisors (1).

77240597657 is an equidigital number, since it uses as much as digits as its factorization.

77240597657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25930800, while the sum is 59.

The spelling of 77240597657 in words is "seventy-seven billion, two hundred forty million, five hundred ninety-seven thousand, six hundred fifty-seven".