829680947200 has 312 divisors, whose sum is σ = 2489612118912. Its totient is φ = 267725045760.

The previous prime is 829680947197. The next prime is 829680947233. The reversal of 829680947200 is 2749086928.

It is a super-3 number, since 3×829680947200³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 12151557 + ... + 12219643.

Almost surely, 2^829680947200 is an apocalyptic number.

829680947200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829680947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244806059456).

829680947200 is an abundant number, since it is smaller than the sum of its proper divisors (1659931171712).

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

829680947200 is a wasteful number, since it uses less digits than its factorization.

829680947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68145 (or 68118 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 829680947200 in words is "eight hundred twenty-nine billion, six hundred eighty million, nine hundred forty-seven thousand, two hundred".