77735969 has 2 divisors, whose sum is σ = 77735970. Its totient is φ = 77735968.

The previous prime is 77735953. The next prime is 77735971. The reversal of 77735969 is 96953777.

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., 49773025 + 27962944 = 7055^2 + 5288^2 .

It is a cyclic number.

It is not a de Polignac number, because 77735969 - 2⁴ = 77735953 is a prime.

It is a super-2 number, since 2×77735969² = 12085761752737922, which contains 22 as substring.

Together with 77735971, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77735969.

It is not a weakly prime, because it can be changed into another prime (77735909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38867984 + 38867985.

It is an arithmetic number, because the mean of its divisors is an integer number (38867985).

Almost surely, 2^77735969 is an apocalyptic number.

It is an amenable number.

77735969 is a deficient number, since it is larger than the sum of its proper divisors (1).

77735969 is an equidigital number, since it uses as much as digits as its factorization.

77735969 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2500470, while the sum is 53.

The square root of 77735969 is about 8816.8003833590. The cubic root of 77735969 is about 426.7832230256.

The spelling of 77735969 in words is "seventy-seven million, seven hundred thirty-five thousand, nine hundred sixty-nine".