830909040 has 160 divisors (see below), whose sum is σ = 2894814720. Its totient is φ = 195621888.

The previous prime is 830909033. The next prime is 830909041. The reversal of 830909040 is 40909038.

It is a junction number, because it is equal to n+sod(n) for n = 830908992 and 830909010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830909041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65971 + ... + 77549.

It is an arithmetic number, because the mean of its divisors is an integer number (18092592).

Almost surely, 2^830909040 is an apocalyptic number.

830909040 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 830909040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447407360).

830909040 is an abundant number, since it is smaller than the sum of its proper divisors (2063905680).

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

830909040 is a wasteful number, since it uses less digits than its factorization.

830909040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11631 (or 11625 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 830909040 is about 28825.4928839040. The cubic root of 830909040 is about 940.1226035947.

The spelling of 830909040 in words is "eight hundred thirty million, nine hundred nine thousand, forty".