7580080 has 40 divisors (see below), whose sum is σ = 18061344. Its totient is φ = 2956800.

The previous prime is 7580071. The next prime is 7580081. The reversal of 7580080 is 800857.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×7580080² = 114915225612800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7580081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2125 + ... + 4435.

Almost surely, 2^7580080 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 7580080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9030672).

7580080 is an abundant number, since it is smaller than the sum of its proper divisors (10481264).

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

7580080 is a wasteful number, since it uses less digits than its factorization.

7580080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 7580080 is about 2753.1945082032. The cubic root of 7580080 is about 196.4375895742.

The spelling of 7580080 in words is "seven million, five hundred eighty thousand, eighty".