830380949920 has 96 divisors (see below), whose sum is σ = 1973976480000. Its totient is φ = 330092184576.

The previous prime is 830380949873. The next prime is 830380949963. The reversal of 830380949920 is 29949083038.

It is a happy number.

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, 19060002 + ... + 19103518.

It is an arithmetic number, because the mean of its divisors is an integer number (20562255000).

Almost surely, 2^830380949920 is an apocalyptic number.

830380949920 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 830380949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986988240000).

830380949920 is an abundant number, since it is smaller than the sum of its proper divisors (1143595530080).

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

830380949920 is a wasteful number, since it uses less digits than its factorization.

830380949920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44270 (or 44262 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 830380949920 in words is "eight hundred thirty billion, three hundred eighty million, nine hundred forty-nine thousand, nine hundred twenty".