77368 has 16 divisors (see below), whose sum is σ = 153000. Its totient is φ = 36576.

The previous prime is 77359. The next prime is 77369. The reversal of 77368 is 86377.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103 + ... + 406.

2⁷⁷³⁶⁸ is an apocalyptic number.

It is an amenable number.

77368 is a deficient number, since it is larger than the sum of its proper divisors (75632).

77368 is a wasteful number, since it uses less digits than its factorization.

77368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 77368 is about 278.1510381070. The cubic root of 77368 is about 42.6108754295.

Subtracting 77368 from its reverse (86377), we obtain a palindrome (9009).

It can be divided in two parts, 7736 and 8, that added together give a square (7744 = 88²).

The spelling of 77368 in words is "seventy-seven thousand, three hundred sixty-eight".