76829 has 2 divisors, whose sum is σ = 76830. Its totient is φ = 76828.

The previous prime is 76819. The next prime is 76831. The reversal of 76829 is 92867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76729 + 100 = 277^2 + 10^2 .

It is an emirp because it is prime and its reverse (92867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 76829 - 2¹² = 72733 is a prime.

Together with 76831, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 76795 and 76804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38414 + 38415.

It is an arithmetic number, because the mean of its divisors is an integer number (38415).

2⁷⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

76829 is a deficient number, since it is larger than the sum of its proper divisors (1).

76829 is an equidigital number, since it uses as much as digits as its factorization.

76829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 32.

The square root of 76829 is about 277.1804466408. The cubic root of 76829 is about 42.5116922847.

It can be divided in two parts, 768 and 29, that added together give a palindrome (797).

The spelling of 76829 in words is "seventy-six thousand, eight hundred twenty-nine".