829340520 has 64 divisors (see below), whose sum is σ = 2568291840. Its totient is φ = 214022400.

The previous prime is 829340507. The next prime is 829340531. The reversal of 829340520 is 25043928.

It is a happy number.

It is a super-2 number, since 2×829340520² = 1375611396227740800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107751 + ... + 115190.

It is an arithmetic number, because the mean of its divisors is an integer number (40129560).

Almost surely, 2^829340520 is an apocalyptic number.

It is an amenable number.

829340520 is an abundant number, since it is smaller than the sum of its proper divisors (1738951320).

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

829340520 is a wasteful number, since it uses less digits than its factorization.

829340520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222986 (or 222982 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 829340520 is about 28798.2728648785. The cubic root of 829340520 is about 939.5306695862.

The spelling of 829340520 in words is "eight hundred twenty-nine million, three hundred forty thousand, five hundred twenty".