77035667809 has 9 divisors (see below), whose sum is σ = 77334636729. Its totient is φ = 76737853440.

The previous prime is 77035667801. The next prime is 77035667867. The reversal of 77035667809 is 90876653077.

The square root of 77035667809 is 277553.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 44957025 + 76990710784 = 6705^2 + 277472^2 .

It is not a de Polignac number, because 77035667809 - 2³ = 77035667801 is a prime.

It is a super-2 number, since 2×77035667809² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77035667801) 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 in 8 ways as a sum of consecutive naturals, for example, 120180129 + ... + 120180769.

Almost surely, 2^77035667809 is an apocalyptic number.

77035667809 is the 277553-rd square number.

77035667809 is the 138777-th centered octagonal number.

It is an amenable number.

77035667809 is a deficient number, since it is larger than the sum of its proper divisors (298968920).

77035667809 is an frugal number, since it uses more digits than its factorization.

77035667809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 58.

The spelling of 77035667809 in words is "seventy-seven billion, thirty-five million, six hundred sixty-seven thousand, eight hundred nine".