77945 has 16 divisors (see below), whose sum is σ = 114048. Its totient is φ = 49920.

The previous prime is 77933. The next prime is 77951. The reversal of 77945 is 54977.

77945 = T₅₀ + T₅₁ + ... + T₈₃.

It is not a de Polignac number, because 77945 - 2⁴ = 77929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77945.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (7128).

2⁷⁷⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

77945 is a deficient number, since it is larger than the sum of its proper divisors (36103).

77945 is a wasteful number, since it uses less digits than its factorization.

77945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its digits is 8820, while the sum is 32.

The square root of 77945 is about 279.1863177163. The cubic root of 77945 is about 42.7165418818.

Adding to 77945 its sum of digits (32), we get a palindrome (77977).

The spelling of 77945 in words is "seventy-seven thousand, nine hundred forty-five".