9786081600 has 252 divisors, whose sum is σ = 35023158300. Its totient is φ = 2591539200.

The previous prime is 9786081589. The next prime is 9786081601. The reversal of 9786081600 is 61806879.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1806590016 + 7979491584 = 42504^2 + 89328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9786081601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2143320 + ... + 2147880.

Almost surely, 2^9786081600 is an apocalyptic number.

9786081600 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 9786081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17511579150).

9786081600 is an abundant number, since it is smaller than the sum of its proper divisors (25237076700).

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

9786081600 is a wasteful number, since it uses less digits than its factorization.

9786081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9786081600 is about 98924.6258522113. The cubic root of 9786081600 is about 2138.9613849630.

The spelling of 9786081600 in words is "nine billion, seven hundred eighty-six million, eighty-one thousand, six hundred".