77023032077 has 16 divisors (see below), whose sum is σ = 79067473584. Its totient is φ = 75007296000.

The previous prime is 77023032019. The next prime is 77023032113.

77023032077 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 29370761641 + 47652270436 = 171379^2 + 218294^2 .

It is a cyclic number.

It is not a de Polignac number, because 77023032077 - 2⁸ = 77023031821 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77023032077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77023032277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2676827 + ... + 2705447.

It is an arithmetic number, because the mean of its divisors is an integer number (4941717099).

Almost surely, 2^77023032077 is an apocalyptic number.

It is an amenable number.

77023032077 is a deficient number, since it is larger than the sum of its proper divisors (2044441507).

77023032077 is a wasteful number, since it uses less digits than its factorization.

77023032077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29120.

The product of its (nonzero) digits is 86436, while the sum is 38.

The spelling of 77023032077 in words is "seventy-seven billion, twenty-three million, thirty-two thousand, seventy-seven".