7975968 has 192 divisors, whose sum is σ = 28449792. Its totient is φ = 1889280.

The previous prime is 7975949. The next prime is 7975973. The reversal of 7975968 is 8695797.

It is a self number, because there is not a number n which added to its sum of digits gives 7975968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96055 + ... + 96137.

It is an arithmetic number, because the mean of its divisors is an integer number (148176).

Almost surely, 2^7975968 is an apocalyptic number.

7975968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7975968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

7975968 is an abundant number, since it is smaller than the sum of its proper divisors (20473824).

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

7975968 is a wasteful number, since it uses less digits than its factorization.

7975968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its digits is 952560, while the sum is 51.

The square root of 7975968 is about 2824.1756319323. The cubic root of 7975968 is about 199.7995324643.

The spelling of 7975968 in words is "seven million, nine hundred seventy-five thousand, nine hundred sixty-eight".