7968760 has 64 divisors (see below), whose sum is σ = 18960480. Its totient is φ = 3010560.

The previous prime is 7968757. The next prime is 7968761. The reversal of 7968760 is 678697.

It is a super-2 number, since 2×7968760² = 127002271875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968761) 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, 70464 + ... + 70576.

Almost surely, 2^7968760 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 7968760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480240).

7968760 is an abundant number, since it is smaller than the sum of its proper divisors (10991720).

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

7968760 is a wasteful number, since it uses less digits than its factorization.

7968760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 7968760 is about 2822.8992188883. The cubic root of 7968760 is about 199.7393270624.

The spelling of 7968760 in words is "seven million, nine hundred sixty-eight thousand, seven hundred sixty".