77375457377 has 2 divisors, whose sum is σ = 77375457378. Its totient is φ = 77375457376.

The previous prime is 77375457373. The next prime is 77375457421.

77375457377 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77373541921 + 1915456 = 278161^2 + 1384^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 77375457377 - 2² = 77375457373 is a prime.

It is a super-2 number, since 2×77375457377² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77375457371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38687728688 + 38687728689.

It is an arithmetic number, because the mean of its divisors is an integer number (38687728689).

Almost surely, 2^77375457377 is an apocalyptic number.

It is an amenable number.

77375457377 is a deficient number, since it is larger than the sum of its proper divisors (1).

77375457377 is an equidigital number, since it uses as much as digits as its factorization.

77375457377 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105884100, while the sum is 62.

The spelling of 77375457377 in words is "seventy-seven billion, three hundred seventy-five million, four hundred fifty-seven thousand, three hundred seventy-seven".