77661693 has 16 divisors (see below), whose sum is σ = 115300800. Its totient is φ = 51663600.

The previous prime is 77661679. The next prime is 77661713. The reversal of 77661693 is 39616677.

It is not a de Polignac number, because 77661693 - 2⁴ = 77661677 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77661653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10918 + ... + 16568.

It is an arithmetic number, because the mean of its divisors is an integer number (7206300).

Almost surely, 2^77661693 is an apocalyptic number.

It is an amenable number.

77661693 is a deficient number, since it is larger than the sum of its proper divisors (37639107).

77661693 is a wasteful number, since it uses less digits than its factorization.

77661693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169 (or 6163 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 77661693 is about 8812.5871910580. The cubic root of 77661693 is about 426.6472505677.

The spelling of 77661693 in words is "seventy-seven million, six hundred sixty-one thousand, six hundred ninety-three".