7568080 has 80 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 2640384.

The previous prime is 7568069. The next prime is 7568083. The reversal of 7568080 is 808657.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7568083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19569 + ... + 19951.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^7568080 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 7568080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

7568080 is an abundant number, since it is smaller than the sum of its proper divisors (12430640).

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

7568080 is a wasteful number, since it uses less digits than its factorization.

7568080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 7568080 is about 2751.0143583777. The cubic root of 7568080 is about 196.3338749217. Note that the first 3 decimals are identical.

It can be divided in two parts, 756 and 8080, that added together give a square (8836 = 94²).

The spelling of 7568080 in words is "seven million, five hundred sixty-eight thousand, eighty".