930940080 has 160 divisors (see below), whose sum is σ = 3321216000. Its totient is φ = 211301376.

The previous prime is 930940079. The next prime is 930940117. The reversal of 930940080 is 80049039.

930940080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248461 + ... + 252179.

It is an arithmetic number, because the mean of its divisors is an integer number (20757600).

Almost surely, 2^930940080 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 930940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660608000).

930940080 is an abundant number, since it is smaller than the sum of its proper divisors (2390275920).

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

930940080 is a wasteful number, since it uses less digits than its factorization.

930940080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3885 counting only the distinct ones).

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

The square root of 930940080 is about 30511.3106896443. The cubic root of 930940080 is about 976.4287901355.

The spelling of 930940080 in words is "nine hundred thirty million, nine hundred forty thousand, eighty".