9806076000 has 1152 divisors, whose sum is σ = 44367523200. Its totient is φ = 2090188800.

The previous prime is 9806075987. The next prime is 9806076041. The reversal of 9806076000 is 6706089.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89963946 + ... + 89964054.

It is an arithmetic number, because the mean of its divisors is an integer number (38513475).

Almost surely, 2^9806076000 is an apocalyptic number.

9806076000 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 9806076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22183761600).

9806076000 is an abundant number, since it is smaller than the sum of its proper divisors (34561447200).

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

9806076000 is a wasteful number, since it uses less digits than its factorization.

9806076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9806076000 is about 99025.6330451868. The cubic root of 9806076000 is about 2140.4171312529.

The spelling of 9806076000 in words is "nine billion, eight hundred six million, seventy-six thousand".