8826998400 has 864 divisors, whose sum is σ = 36902911500. Its totient is φ = 2000486400.

The previous prime is 8826998371. The next prime is 8826998413. The reversal of 8826998400 is 48996288.

It can be written as a sum of positive squares in 6 ways, for example, as 2596106304 + 6230892096 = 50952^2 + 78936^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 59241526 + ... + 59241674.

Almost surely, 2^8826998400 is an apocalyptic number.

8826998400 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 8826998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451455750).

8826998400 is an abundant number, since it is smaller than the sum of its proper divisors (28075913100).

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

8826998400 is a wasteful number, since it uses less digits than its factorization.

8826998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8826998400 is about 93952.1069481680. The cubic root of 8826998400 is about 2066.6694323006.

The spelling of 8826998400 in words is "eight billion, eight hundred twenty-six million, nine hundred ninety-eight thousand, four hundred".