8328798400 has 168 divisors, whose sum is σ = 22203735120. Its totient is φ = 3056701440.

The previous prime is 8328798391. The next prime is 8328798421. The reversal of 8328798400 is 48978238.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3722082 + ... + 3724318.

It is an arithmetic number, because the mean of its divisors is an integer number (132165090).

Almost surely, 2^8328798400 is an apocalyptic number.

8328798400 is a gapful number since it is divisible by the number (80) 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 8328798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11101867560).

8328798400 is an abundant number, since it is smaller than the sum of its proper divisors (13874936720).

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

8328798400 is a wasteful number, since it uses less digits than its factorization.

8328798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 8328798400 is about 91262.2506844971. The cubic root of 8328798400 is about 2027.0328333851.

The spelling of 8328798400 in words is "eight billion, three hundred twenty-eight million, seven hundred ninety-eight thousand, four hundred".