9788066820 has 288 divisors, whose sum is σ = 34720358400. Its totient is φ = 2185926912.

The previous prime is 9788066807. The next prime is 9788066851. The reversal of 9788066820 is 286608879.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10650321 + ... + 10651239.

It is an arithmetic number, because the mean of its divisors is an integer number (120556800).

Almost surely, 2^9788066820 is an apocalyptic number.

9788066820 is a gapful number since it is divisible by the number (90) 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 9788066820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360179200).

9788066820 is an abundant number, since it is smaller than the sum of its proper divisors (24932291580).

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

9788066820 is a wasteful number, since it uses less digits than its factorization.

9788066820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 9788066820 is about 98934.6593464596. The cubic root of 9788066820 is about 2139.1060128808.

The spelling of 9788066820 in words is "nine billion, seven hundred eighty-eight million, sixty-six thousand, eight hundred twenty".