8328830400 has 672 divisors, whose sum is σ = 35104181760. Its totient is φ = 1898496000.

The previous prime is 8328830399. The next prime is 8328830429. The reversal of 8328830400 is 40388238.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8077885 + ... + 8078915.

Almost surely, 2^8328830400 is an apocalyptic number.

8328830400 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 8328830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552090880).

8328830400 is an abundant number, since it is smaller than the sum of its proper divisors (26775351360).

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

8328830400 is a wasteful number, since it uses less digits than its factorization.

8328830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8328830400 is about 91262.4260032572. The cubic root of 8328830400 is about 2027.0354293965.

The spelling of 8328830400 in words is "eight billion, three hundred twenty-eight million, eight hundred thirty thousand, four hundred".