9805770000 has 900 divisors, whose sum is σ = 40582962420. Its totient is φ = 2193408000.

The previous prime is 9805769993. The next prime is 9805770001. The reversal of 9805770000 is 775089.

9805770000 is a `hidden beast` number, since 9 + 80 + 577 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 30 ways, for example, as 9520295184 + 285474816 = 97572^2 + 16896^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9805770001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 338129986 + ... + 338130014.

Almost surely, 2^9805770000 is an apocalyptic number.

9805770000 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 9805770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20291481210).

9805770000 is an abundant number, since it is smaller than the sum of its proper divisors (30777192420).

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

9805770000 is a wasteful number, since it uses less digits than its factorization.

9805770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 9805770000 is about 99024.0879786328. The cubic root of 9805770000 is about 2140.3948670140.

The spelling of 9805770000 in words is "nine billion, eight hundred five million, seven hundred seventy thousand".