76388 has 18 divisors (see below), whose sum is σ = 146034. Its totient is φ = 34944.

The previous prime is 76387. The next prime is 76403. The reversal of 76388 is 88367.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 68644 = 88^2 + 262^2 .

Its product of digits (8064) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (76387) 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, 620 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (8113).

2⁷⁶³⁸⁸ is an apocalyptic number.

It is an amenable number.

76388 is a deficient number, since it is larger than the sum of its proper divisors (69646).

76388 is a wasteful number, since it uses less digits than its factorization.

76388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 76388 is about 276.3837911311. The cubic root of 76388 is about 42.4301968348.

It can be divided in two parts, 76 and 388, that added together give a palindrome (464).

The spelling of 76388 in words is "seventy-six thousand, three hundred eighty-eight".