982800 has 240 divisors, whose sum is σ = 4305280. Its totient is φ = 207360.

The previous prime is 982789. The next prime is 982801. The reversal of 982800 is 8289.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (982801) by changing a digit.

982800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75594 + ... + 75606.

2⁹⁸²⁸⁰⁰ is an apocalyptic number.

982800 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 982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152640).

982800 is an abundant number, since it is smaller than the sum of its proper divisors (3322480).

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

982800 is a wasteful number, since it uses less digits than its factorization.

982800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 30 counting only the distinct ones).

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

The square root of 982800 is about 991.3626985115. The cubic root of 982800 is about 99.4233477806.

The spelling of 982800 in words is "nine hundred eighty-two thousand, eight hundred".