982477680 has 80 divisors (see below), whose sum is σ = 3050831520. Its totient is φ = 261551104.

The previous prime is 982477679. The next prime is 982477693. The reversal of 982477680 is 86774289.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153586 + ... + 159854.

It is an arithmetic number, because the mean of its divisors is an integer number (38135394).

Almost surely, 2^982477680 is an apocalyptic number.

It is a pronic number, being equal to 31344×31345.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525415760).

982477680 is an abundant number, since it is smaller than the sum of its proper divisors (2068353840).

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

982477680 is a wasteful number, since it uses less digits than its factorization.

982477680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 982477680 is about 31344.4999960121. The cubic root of 982477680 is about 994.1247760106.

The spelling of 982477680 in words is "nine hundred eighty-two million, four hundred seventy-seven thousand, six hundred eighty".