829680 has 40 divisors (see below), whose sum is σ = 2572752. Its totient is φ = 221184.

The previous prime is 829657. The next prime is 829687. The reversal of 829680 is 86928.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829680.

It is not an unprimeable number, because it can be changed into a prime (829687) by changing a digit.

829680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1489 + ... + 1968.

2⁸²⁹⁶⁸⁰ is an apocalyptic number.

829680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

829680 is an abundant number, since it is smaller than the sum of its proper divisors (1743072).

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

829680 is a wasteful number, since it uses less digits than its factorization.

829680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 829680 is about 910.8677181677. The cubic root of 829680 is about 93.9658847078.

The spelling of 829680 in words is "eight hundred twenty-nine thousand, six hundred eighty".