829740 has 24 divisors (see below), whose sum is σ = 2323440. Its totient is φ = 221248.

The previous prime is 829733. The next prime is 829757. The reversal of 829740 is 47928.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 829698 and 829707.

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, 6855 + ... + 6974.

It is an arithmetic number, because the mean of its divisors is an integer number (96810).

2⁸²⁹⁷⁴⁰ is an apocalyptic number.

It is an amenable number.

829740 is an abundant number, since it is smaller than the sum of its proper divisors (1493700).

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

829740 is a wasteful number, since it uses less digits than its factorization.

829740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13841 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 829740 is about 910.9006531999. The cubic root of 829740 is about 93.9681497646.

The spelling of 829740 in words is "eight hundred twenty-nine thousand, seven hundred forty".