7982784000 has 240 divisors, whose sum is σ = 28754565840. Its totient is φ = 2128588800.

The previous prime is 7982783989. The next prime is 7982784023. The reversal of 7982784000 is 4872897.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569071 + ... + 582929.

It is an arithmetic number, because the mean of its divisors is an integer number (119810691).

Almost surely, 2^7982784000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7982784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377282920).

7982784000 is an abundant number, since it is smaller than the sum of its proper divisors (20771781840).

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

7982784000 is a wasteful number, since it uses less digits than its factorization.

7982784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13898 (or 13869 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7982784000 is about 89346.4269011358. The cubic root of 7982784000 is about 1998.5643029670.

The spelling of 7982784000 in words is "seven billion, nine hundred eighty-two million, seven hundred eighty-four thousand".