829682080 has 96 divisors (see below), whose sum is σ = 2024462160. Its totient is φ = 321085440.

The previous prime is 829682069. The next prime is 829682089. The reversal of 829682080 is 80286928.

829682080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 240746256 + 588935824 = 15516^2 + 24268^2 .

It is not an unprimeable number, because it can be changed into a prime (829682089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1592220 + ... + 1592740.

Almost surely, 2^829682080 is an apocalyptic number.

829682080 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 829682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012231080).

829682080 is an abundant number, since it is smaller than the sum of its proper divisors (1194780080).

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

829682080 is a wasteful number, since it uses less digits than its factorization.

829682080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 829682080 is about 28804.2024711673. The cubic root of 829682080 is about 939.6596323155.

The spelling of 829682080 in words is "eight hundred twenty-nine million, six hundred eighty-two thousand, eighty".