9600080400 has 405 divisors, whose sum is σ = 35323820077. Its totient is φ = 2414227200.

The previous prime is 9600080359. The next prime is 9600080407. The reversal of 9600080400 is 40800069.

The square root of 9600080400 is 97980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3456028944 + 6144051456 = 58788^2 + 78384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9600080407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 135212365 + ... + 135212435.

Almost surely, 2^9600080400 is an apocalyptic number.

9600080400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9600080400 is the 97980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9600080400

9600080400 is an abundant number, since it is smaller than the sum of its proper divisors (25723739677).

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

9600080400 is a wasteful number, since it uses less digits than its factorization.

9600080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 9600080400 is about 2125.3230715257.

Adding to 9600080400 its reverse (40800069), we get a palindrome (9640880469).

It can be divided in two parts, 96000 and 80400, that added together give a square (176400 = 420²).

The spelling of 9600080400 in words is "nine billion, six hundred million, eighty thousand, four hundred".