982800000 has 768 divisors, whose sum is σ = 4462214400. Its totient is φ = 207360000.

The previous prime is 982799989. The next prime is 982800001. The reversal of 982800000 is 8289.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982800001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75599994 + ... + 75600006.

It is an arithmetic number, because the mean of its divisors is an integer number (5810175).

Almost surely, 2^982800000 is an apocalyptic number.

982800000 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 982800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231107200).

982800000 is an abundant number, since it is smaller than the sum of its proper divisors (3479414400).

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

982800000 is an equidigital number, since it uses as much as digits as its factorization.

982800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 982800000 is about 31349.6411462715. The cubic root of 982800000 is about 994.2334778061.

Adding to 982800000 its reverse (8289), we get a palindrome (982808289).

The spelling of 982800000 in words is "nine hundred eighty-two million, eight hundred thousand".