76338 has 12 divisors (see below), whose sum is σ = 165438. Its totient is φ = 25440.

The previous prime is 76333. The next prime is 76343. The reversal of 76338 is 83367.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76333) and next prime (76343).

It can be written as a sum of positive squares in only one way, i.e., 42849 + 33489 = 207^2 + 183^2 .

It is not an unprimeable number, because it can be changed into a prime (76333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2103 + ... + 2138.

2⁷⁶³³⁸ is an apocalyptic number.

76338 is an abundant number, since it is smaller than the sum of its proper divisors (89100).

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

76338 is a wasteful number, since it uses less digits than its factorization.

76338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4246 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 76338 is about 276.2933223949. The cubic root of 76338 is about 42.4209372090.

It can be divided in two parts, 76 and 338, that added together give a palindrome (414).

The spelling of 76338 in words is "seventy-six thousand, three hundred thirty-eight".