829308920896 has 63 divisors (see below), whose sum is σ = 1671572432439. Its totient is φ = 408225172608.

The previous prime is 829308920861. The next prime is 829308920929. The reversal of 829308920896 is 698029803928.

The square root of 829308920896 is 910664.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 488115055 + ... + 488116753.

It is an arithmetic number, because the mean of its divisors is an integer number (26532895753).

Almost surely, 2^829308920896 is an apocalyptic number.

829308920896 is the 910664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829308920896

829308920896 is an abundant number, since it is smaller than the sum of its proper divisors (842263511543).

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

829308920896 is an frugal number, since it uses more digits than its factorization.

829308920896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 64.

Multiplying 829308920896 by its sum of digits (64), we get a square (53075770937344 = 7285312²).

829308920896 divided by its sum of digits (64) gives a square (12957951889 = 113833²).

The spelling of 829308920896 in words is "eight hundred twenty-nine billion, three hundred eight million, nine hundred twenty thousand, eight hundred ninety-six".