829773986976 has 720 divisors, whose sum is σ = 2989991854080. Its totient is φ = 224172748800.

The previous prime is 829773986953. The next prime is 829773986999. The reversal of 829773986976 is 679689377928.

829773986976 is a `hidden beast` number, since 82 + 97 + 7 + 398 + 69 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (829773986953) and next prime (829773986999).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 829773986895 and 829773986904.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 101299041 + ... + 101307231.

It is an arithmetic number, because the mean of its divisors is an integer number (4152766464).

Almost surely, 2^829773986976 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 829773986976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494995927040).

829773986976 is an abundant number, since it is smaller than the sum of its proper divisors (2160217867104).

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

829773986976 is a wasteful number, since it uses less digits than its factorization.

829773986976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8243 counting only the distinct ones).

The product of its digits is 3456649728, while the sum is 81.

The spelling of 829773986976 in words is "eight hundred twenty-nine billion, seven hundred seventy-three million, nine hundred eighty-six thousand, nine hundred seventy-six".