76888 has 16 divisors (see below), whose sum is σ = 164880. Its totient is φ = 32928.

The previous prime is 76883. The next prime is 76907. The reversal of 76888 is 88867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76883) 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 3 ways as a sum of consecutive naturals, for example, 631 + ... + 742.

It is an arithmetic number, because the mean of its divisors is an integer number (10305).

2⁷⁶⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

76888 is an abundant number, since it is smaller than the sum of its proper divisors (87992).

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 (82440).

76888 is a wasteful number, since it uses less digits than its factorization.

76888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1382 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The square root of 76888 is about 277.2868550797. The cubic root of 76888 is about 42.5225716318.

It can be divided in two parts, 7688 and 8, that multiplied together give a square (61504 = 248²).

The spelling of 76888 in words is "seventy-six thousand, eight hundred eighty-eight".