9766382080 has 480 divisors, whose sum is σ = 30152851344. Its totient is φ = 3005743104.

The previous prime is 9766382053. The next prime is 9766382123. The reversal of 9766382080 is 802836679.

It can be written as a sum of positive squares in 8 ways, for example, as 894249216 + 8872132864 = 29904^2 + 94192^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86428104 + ... + 86428216.

Almost surely, 2^9766382080 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 9766382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076425672).

9766382080 is an abundant number, since it is smaller than the sum of its proper divisors (20386469264).

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

9766382080 is a wasteful number, since it uses less digits than its factorization.

9766382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 9766382080 is about 98825.0073614973. The cubic root of 9766382080 is about 2137.5251676984.

The spelling of 9766382080 in words is "nine billion, seven hundred sixty-six million, three hundred eighty-two thousand, eighty".