99820800 has 162 divisors, whose sum is σ = 357087822. Its totient is φ = 26603520.

The previous prime is 99820771. The next prime is 99820801. The reversal of 99820800 is 802899.

It can be written as a sum of positive squares in 3 ways, for example, as 4875264 + 94945536 = 2208^2 + 9744^2 .

It is a super-2 number, since 2×99820800² = 19928384225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99820801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 56734 + ... + 58466.

Almost surely, 2^99820800 is an apocalyptic number.

99820800 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 99820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178543911).

99820800 is an abundant number, since it is smaller than the sum of its proper divisors (257267022).

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

99820800 is a wasteful number, since it uses less digits than its factorization.

99820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 99820800 is about 9991.0359823194. The cubic root of 99820800 is about 463.8814600080.

The spelling of 99820800 in words is "ninety-nine million, eight hundred twenty thousand, eight hundred".