7997865984 has 180 divisors, whose sum is σ = 23452259376. Its totient is φ = 2625896448.

The previous prime is 7997865961. The next prime is 7997866001. The reversal of 7997865984 is 4895687997.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10763917 + ... + 10764659.

Almost surely, 2^7997865984 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 7997865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726129688).

7997865984 is an abundant number, since it is smaller than the sum of its proper divisors (15454393392).

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

7997865984 is an equidigital number, since it uses as much as digits as its factorization.

7997865984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 821 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The square root of 7997865984 is about 89430.7887922275. The cubic root of 7997865984 is about 1999.8221495184.

The spelling of 7997865984 in words is "seven billion, nine hundred ninety-seven million, eight hundred sixty-five thousand, nine hundred eighty-four".