76819 has 2 divisors, whose sum is σ = 76820. Its totient is φ = 76818.

The previous prime is 76801. The next prime is 76829. The reversal of 76819 is 91867.

76819 is nontrivially palindromic in base 14.

It is a strong prime.

It is an emirp because it is prime and its reverse (91867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 76819 - 2¹¹ = 74771 is a prime.

It is a super-2 number, since 2×76819² = 11802317522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (76829) 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 as a sum of consecutive naturals, namely, 38409 + 38410.

It is an arithmetic number, because the mean of its divisors is an integer number (38410).

2⁷⁶⁸¹⁹ is an apocalyptic number.

76819 is a deficient number, since it is larger than the sum of its proper divisors (1).

76819 is an equidigital number, since it uses as much as digits as its factorization.

76819 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 31.

The square root of 76819 is about 277.1624072633. The cubic root of 76819 is about 42.5098477756.

It can be divided in two parts, 768 and 19, that added together give a palindrome (787).

The spelling of 76819 in words is "seventy-six thousand, eight hundred nineteen".