76812 has 24 divisors (see below), whose sum is σ = 185136. Its totient is φ = 24768.

The previous prime is 76801. The next prime is 76819. The reversal of 76812 is 21867.

It is not an unprimeable number, because it can be changed into a prime (76819) 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, 358 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (7714).

2⁷⁶⁸¹² is an apocalyptic number.

It is an amenable number.

76812 is an abundant number, since it is smaller than the sum of its proper divisors (108324).

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 (92568).

76812 is a wasteful number, since it uses less digits than its factorization.

76812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 76812 is about 277.1497790005. The cubic root of 76812 is about 42.5085565240.

Subtracting from 76812 its reverse (21867), we obtain a palindrome (54945).

It can be divided in two parts, 768 and 12, that multiplied together give a square (9216 = 96²).

The spelling of 76812 in words is "seventy-six thousand, eight hundred twelve".