76123829 has 2 divisors, whose sum is σ = 76123830. Its totient is φ = 76123828.

The previous prime is 76123783. The next prime is 76123849. The reversal of 76123829 is 92832167.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54982225 + 21141604 = 7415^2 + 4598^2 .

It is an emirp because it is prime and its reverse (92832167) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-76123829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76123792 and 76123801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76123849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38061914 + 38061915.

It is an arithmetic number, because the mean of its divisors is an integer number (38061915).

Almost surely, 2^76123829 is an apocalyptic number.

It is an amenable number.

76123829 is a deficient number, since it is larger than the sum of its proper divisors (1).

76123829 is an equidigital number, since it uses as much as digits as its factorization.

76123829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 38.

The square root of 76123829 is about 8724.8970767568. The cubic root of 76123829 is about 423.8122852612.

The spelling of 76123829 in words is "seventy-six million, one hundred twenty-three thousand, eight hundred twenty-nine".