7992720000 has 480 divisors, whose sum is σ = 30477884580. Its totient is φ = 2002944000.

The previous prime is 7992719971. The next prime is 7992720011. The reversal of 7992720000 is 272997.

It can be written as a sum of positive squares in 10 ways, for example, as 598095936 + 7394624064 = 24456^2 + 85992^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12239674 + ... + 12240326.

Almost surely, 2^7992720000 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 7992720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15238942290).

7992720000 is an abundant number, since it is smaller than the sum of its proper divisors (22485164580).

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

7992720000 is a wasteful number, since it uses less digits than its factorization.

7992720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7992720000 is about 89402.0134001466. The cubic root of 7992720000 is about 1999.3931492180.

Adding to 7992720000 its reverse (272997), we get a palindrome (7992992997).

The spelling of 7992720000 in words is "seven billion, nine hundred ninety-two million, seven hundred twenty thousand".