982080000 has 600 divisors, whose sum is σ = 3988423296. Its totient is φ = 230400000.

The previous prime is 982079981. The next prime is 982080017. The reversal of 982080000 is 80289.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×982080000² = 1928962252800000000, which contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 31679985 + ... + 31680015.

Almost surely, 2^982080000 is an apocalyptic number.

982080000 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 982080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994211648).

982080000 is an abundant number, since it is smaller than the sum of its proper divisors (3006343296).

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

982080000 is a wasteful number, since it uses less digits than its factorization.

982080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

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

The square root of 982080000 is about 31338.1556572814. The cubic root of 982080000 is about 993.9906264340.

The spelling of 982080000 in words is "nine hundred eighty-two million, eighty thousand".