76806 has 24 divisors (see below), whose sum is σ = 176904. Its totient is φ = 24000.

The previous prime is 76801. The next prime is 76819. The reversal of 76806 is 60867.

It is a self number, because there is not a number n which added to its sum of digits gives 76806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2⁷⁶⁸⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452).

76806 is an abundant number, since it is smaller than the sum of its proper divisors (100098).

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

76806 is a wasteful number, since it uses less digits than its factorization.

76806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76806 is about 277.1389543171. The cubic root of 76806 is about 42.5074496745.

The spelling of 76806 in words is "seventy-six thousand, eight hundred six".