830607820 has 72 divisors (see below), whose sum is σ = 2083986576. Its totient is φ = 277070976.

The previous prime is 830607721. The next prime is 830607839. The reversal of 830607820 is 28706038.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24807 + ... + 47713.

It is an arithmetic number, because the mean of its divisors is an integer number (28944258).

Almost surely, 2^830607820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830607820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041993288).

830607820 is an abundant number, since it is smaller than the sum of its proper divisors (1253378756).

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

830607820 is a wasteful number, since it uses less digits than its factorization.

830607820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22967 (or 22958 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 830607820 is about 28820.2675213122. The cubic root of 830607820 is about 940.0089858806.

The spelling of 830607820 in words is "eight hundred thirty million, six hundred seven thousand, eight hundred twenty".