829947076260 has 24 divisors (see below), whose sum is σ = 2323851813696. Its totient is φ = 221319220320.

The previous prime is 829947076253. The next prime is 829947076289. The reversal of 829947076260 is 62670749928.

829947076260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 13832451271 = 829947076260 / (8 + 2 + 9 + 9 + 4 + 7 + 0 + 7 + 6 + 2 + 6 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 829947076194 and 829947076203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6916225576 + ... + 6916225695.

It is an arithmetic number, because the mean of its divisors is an integer number (96827158904).

Almost surely, 2^829947076260 is an apocalyptic number.

It is an amenable number.

829947076260 is an abundant number, since it is smaller than the sum of its proper divisors (1493904737436).

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

829947076260 is a wasteful number, since it uses less digits than its factorization.

829947076260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13832451283 (or 13832451281 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 829947076260 in words is "eight hundred twenty-nine billion, nine hundred forty-seven million, seventy-six thousand, two hundred sixty".