998776800 has 648 divisors, whose sum is σ = 4341519000. Its totient is φ = 214824960.

The previous prime is 998776789. The next prime is 998776871. The reversal of 998776800 is 8677899.

998776800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6703126 + ... + 6703274.

It is an arithmetic number, because the mean of its divisors is an integer number (6699875).

Almost surely, 2^998776800 is an apocalyptic number.

998776800 is a gapful number since it is divisible by the number (90) 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 998776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170759500).

998776800 is an abundant number, since it is smaller than the sum of its proper divisors (3342742200).

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

998776800 is a wasteful number, since it uses less digits than its factorization.

998776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 998776800 is about 31603.4301935723. The cubic root of 998776800 is about 999.5921003071.

The spelling of 998776800 in words is "nine hundred ninety-eight million, seven hundred seventy-six thousand, eight hundred".