829870766117 has 8 divisors (see below), whose sum is σ = 892134307200. Its totient is φ = 769465838304.

The previous prime is 829870766107. The next prime is 829870766141. The reversal of 829870766117 is 711667078928.

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

It is not a de Polignac number, because 829870766117 - 2⁸ = 829870765861 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 829870766117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829870766107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464652392 + ... + 464654177.

It is an arithmetic number, because the mean of its divisors is an integer number (111516788400).

Almost surely, 2^829870766117 is an apocalyptic number.

It is an amenable number.

829870766117 is a deficient number, since it is larger than the sum of its proper divisors (62263541083).

829870766117 is a wasteful number, since it uses less digits than its factorization.

829870766117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929306635.

The product of its (nonzero) digits is 14224896, while the sum is 62.

The spelling of 829870766117 in words is "eight hundred twenty-nine billion, eight hundred seventy million, seven hundred sixty-six thousand, one hundred seventeen".