9777823680 has 224 divisors, whose sum is σ = 31630924800. Its totient is φ = 2558619648.

The previous prime is 9777823673. The next prime is 9777823711. The reversal of 9777823680 is 863287779.

It is a self number, because there is not a number n which added to its sum of digits gives 9777823680.

It is a congruent number.

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, 17367079 + ... + 17367641.

Almost surely, 2^9777823680 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 9777823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815462400).

9777823680 is an abundant number, since it is smaller than the sum of its proper divisors (21853101120).

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

9777823680 is a wasteful number, since it uses less digits than its factorization.

9777823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The square root of 9777823680 is about 98882.8785988758. The cubic root of 9777823680 is about 2138.3595661955.

The spelling of 9777823680 in words is "nine billion, seven hundred seventy-seven million, eight hundred twenty-three thousand, six hundred eighty".