77334443377 has 2 divisors, whose sum is σ = 77334443378. Its totient is φ = 77334443376.

The previous prime is 77334443339. The next prime is 77334443393.

It is a happy number.

77334443377 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38951364321 + 38383079056 = 197361^2 + 195916^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 77334443377 - 2³⁵ = 42974705009 is a prime.

It is a super-2 number, since 2×77334443377² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not a weakly prime, because it can be changed into another prime (77334443077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38667221688 + 38667221689.

It is an arithmetic number, because the mean of its divisors is an integer number (38667221689).

Almost surely, 2^77334443377 is an apocalyptic number.

It is an amenable number.

77334443377 is a deficient number, since it is larger than the sum of its proper divisors (1).

77334443377 is an equidigital number, since it uses as much as digits as its factorization.

77334443377 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12446784, while the sum is 52.

The spelling of 77334443377 in words is "seventy-seven billion, three hundred thirty-four million, four hundred forty-three thousand, three hundred seventy-seven".