829339076608 has 96 divisors (see below), whose sum is σ = 1899500803200. Its totient is φ = 354618703872.

The previous prime is 829339076593. The next prime is 829339076623. The reversal of 829339076608 is 806670933928.

It is an interprime number because it is at equal distance from previous prime (829339076593) and next prime (829339076623).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6227616 + ... + 6359392.

It is an arithmetic number, because the mean of its divisors is an integer number (19786466700).

Almost surely, 2^829339076608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829339076608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949750401600).

829339076608 is an abundant number, since it is smaller than the sum of its proper divisors (1070161726592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829339076608 is a wasteful number, since it uses less digits than its factorization.

829339076608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132245 (or 132225 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 829339076608 in words is "eight hundred twenty-nine billion, three hundred thirty-nine million, seventy-six thousand, six hundred eight".