930767680 has 224 divisors, whose sum is σ = 2520232704. Its totient is φ = 325484544.

The previous prime is 930767647. The next prime is 930767689. The reversal of 930767680 is 86767039.

930767680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 930767680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930767689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5380074 + ... + 5380246.

Almost surely, 2^930767680 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 930767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260116352).

930767680 is an abundant number, since it is smaller than the sum of its proper divisors (1589465024).

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

930767680 is a wasteful number, since it uses less digits than its factorization.

930767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 930767680 is about 30508.4853770226. The cubic root of 930767680 is about 976.3685117425.

The spelling of 930767680 in words is "nine hundred thirty million, seven hundred sixty-seven thousand, six hundred eighty".