829837380 has 24 divisors (see below), whose sum is σ = 2323544832. Its totient is φ = 221289952.

The previous prime is 829837373. The next prime is 829837381. The reversal of 829837380 is 83738928.

It is not an unprimeable number, because it can be changed into a prime (829837381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6915252 + ... + 6915371.

It is an arithmetic number, because the mean of its divisors is an integer number (96814368).

Almost surely, 2^829837380 is an apocalyptic number.

It is an amenable number.

829837380 is an abundant number, since it is smaller than the sum of its proper divisors (1493707452).

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

829837380 is a wasteful number, since it uses less digits than its factorization.

829837380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13830635 (or 13830633 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 829837380 is about 28806.8981322183. The cubic root of 829837380 is about 939.7182571954.

The spelling of 829837380 in words is "eight hundred twenty-nine million, eight hundred thirty-seven thousand, three hundred eighty".