829040 has 40 divisors (see below), whose sum is σ = 1980528. Its totient is φ = 322560.

The previous prime is 829013. The next prime is 829057. The reversal of 829040 is 40928.

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

It is a junction number, because it is equal to n+sod(n) for n = 828997 and 829015.

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, 3320 + ... + 3560.

2⁸²⁹⁰⁴⁰ is an apocalyptic number.

829040 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 829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990264).

829040 is an abundant number, since it is smaller than the sum of its proper divisors (1151488).

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

829040 is a wasteful number, since it uses less digits than its factorization.

829040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 829040 is about 910.5163370308. The cubic root of 829040 is about 93.9417173035.

Adding to 829040 its reverse (40928), we get a palindrome (869968).

The spelling of 829040 in words is "eight hundred twenty-nine thousand, forty".