829268317080 has 384 divisors, whose sum is σ = 3306012278400. Its totient is φ = 175952756736.

The previous prime is 829268317079. The next prime is 829268317091. The reversal of 829268317080 is 80713862928.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2994736 + ... + 3259904.

It is an arithmetic number, because the mean of its divisors is an integer number (8609406975).

Almost surely, 2^829268317080 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 829268317080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653006139200).

829268317080 is an abundant number, since it is smaller than the sum of its proper divisors (2476743961320).

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

829268317080 is a wasteful number, since it uses less digits than its factorization.

829268317080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265283 (or 265276 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 829268317080 in words is "eight hundred twenty-nine billion, two hundred sixty-eight million, three hundred seventeen thousand, eighty".