7998082560 has 960 divisors, whose sum is σ = 33030885888. Its totient is φ = 1839366144.

The previous prime is 7998082453. The next prime is 7998082571. The reversal of 7998082560 is 652808997.

It is a happy number.

7998082560 is a `hidden beast` number, since 79 + 9 + 8 + 0 + 8 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7998082497 and 7998082506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186001899 + ... + 186001941.

Almost surely, 2^7998082560 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 7998082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515442944).

7998082560 is an abundant number, since it is smaller than the sum of its proper divisors (25032803328).

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

7998082560 is a wasteful number, since it uses less digits than its factorization.

7998082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 7998082560 is about 89431.9996421862. Note that the first 3 decimals coincide. The cubic root of 7998082560 is about 1999.8402005657.

The spelling of 7998082560 in words is "seven billion, nine hundred ninety-eight million, eighty-two thousand, five hundred sixty".