76823129 has 8 divisors (see below), whose sum is σ = 78621192. Its totient is φ = 75038080.

The previous prime is 76823113. The next prime is 76823141. The reversal of 76823129 is 92132867.

It can be written as a sum of positive squares in 4 ways, for example, as 225625 + 76597504 = 475^2 + 8752^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 76823129 - 2⁴ = 76823113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76823092 and 76823101.

It is not an unprimeable number, because it can be changed into a prime (76823029) 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, 9239 + ... + 15459.

It is an arithmetic number, because the mean of its divisors is an integer number (9827649).

Almost surely, 2^76823129 is an apocalyptic number.

It is an amenable number.

76823129 is a deficient number, since it is larger than the sum of its proper divisors (1798063).

76823129 is a wasteful number, since it uses less digits than its factorization.

76823129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507.

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

The square root of 76823129 is about 8764.8804327270. The cubic root of 76823129 is about 425.1060939285.

The spelling of 76823129 in words is "seventy-six million, eight hundred twenty-three thousand, one hundred twenty-nine".