7980768 has 60 divisors (see below), whose sum is σ = 23478840. Its totient is φ = 2659392.

The previous prime is 7980761. The next prime is 7980787. The reversal of 7980768 is 8670897.

7980768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7980761) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1053 + ... + 4131.

It is an arithmetic number, because the mean of its divisors is an integer number (391314).

Almost surely, 2^7980768 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 7980768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11739420).

7980768 is an abundant number, since it is smaller than the sum of its proper divisors (15498072).

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

7980768 is a wasteful number, since it uses less digits than its factorization.

7980768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7980768 is about 2825.0253096211. The cubic root of 7980768 is about 199.8396047345.

The spelling of 7980768 in words is "seven million, nine hundred eighty thousand, seven hundred sixty-eight".