77268 has 24 divisors (see below), whose sum is σ = 185472. Its totient is φ = 25024.

The previous prime is 77267. The next prime is 77269. The reversal of 77268 is 86277.

It is an interprime number because it is at equal distance from previous prime (77267) and next prime (77269).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (7728).

2⁷⁷²⁶⁸ is an apocalyptic number.

It is an amenable number.

77268 is an abundant number, since it is smaller than the sum of its proper divisors (108204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92736).

77268 is a wasteful number, since it uses less digits than its factorization.

77268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 77268 is about 277.9712215320. The cubic root of 77268 is about 42.5925089872.

Subtracting 77268 from its reverse (86277), we obtain a palindrome (9009).

The spelling of 77268 in words is "seventy-seven thousand, two hundred sixty-eight".