9782399680 has 112 divisors (see below), whose sum is σ = 24120262656. Its totient is φ = 3775011840.

The previous prime is 9782399677. The next prime is 9782399689. The reversal of 9782399680 is 869932879.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9782399689) 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 15 ways as a sum of consecutive naturals, for example, 3639297 + ... + 3641983.

It is an arithmetic number, because the mean of its divisors is an integer number (215359488).

Almost surely, 2^9782399680 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 9782399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12060131328).

9782399680 is an abundant number, since it is smaller than the sum of its proper divisors (14337862976).

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

9782399680 is a wasteful number, since it uses less digits than its factorization.

9782399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 61.

The square root of 9782399680 is about 98906.0143772865. The cubic root of 9782399680 is about 2138.6930966967.

The spelling of 9782399680 in words is "nine billion, seven hundred eighty-two million, three hundred ninety-nine thousand, six hundred eighty".