7968000 has 144 divisors (see below), whose sum is σ = 26784576. Its totient is φ = 2099200.

The previous prime is 7967989. The next prime is 7968001. The reversal of 7968000 is 8697.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95959 + ... + 96041.

It is an arithmetic number, because the mean of its divisors is an integer number (186004).

Almost surely, 2^7968000 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 7968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392288).

7968000 is an abundant number, since it is smaller than the sum of its proper divisors (18816576).

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

7968000 is an equidigital number, since it uses as much as digits as its factorization.

7968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 7968000 is about 2822.7646023004. The cubic root of 7968000 is about 199.7329769855.

The spelling of 7968000 in words is "seven million, nine hundred sixty-eight thousand".