829084457072 has 40 divisors (see below), whose sum is σ = 1607910480000. Its totient is φ = 414140044032.

The previous prime is 829084457023. The next prime is 829084457093. The reversal of 829084457072 is 270754480928.

It is a junction number, because it is equal to n+sod(n) for n = 829084456999 and 829084457017.

It is a congruent number.

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, 87831329 + ... + 87840767.

It is an arithmetic number, because the mean of its divisors is an integer number (40197762000).

Almost surely, 2^829084457072 is an apocalyptic number.

It is an amenable number.

829084457072 is a deficient number, since it is larger than the sum of its proper divisors (778826022928).

829084457072 is a wasteful number, since it uses less digits than its factorization.

829084457072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14193 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 829084457072 in words is "eight hundred twenty-nine billion, eighty-four million, four hundred fifty-seven thousand, seventy-two".