7490080 has 72 divisors (see below), whose sum is σ = 19230372. Its totient is φ = 2755584.

The previous prime is 7490051. The next prime is 7490089. The reversal of 7490080 is 800947.

It can be written as a sum of positive squares in 6 ways, for example, as 156816 + 7333264 = 396^2 + 2708^2 .

It is a super-2 number, since 2×7490080² = 112202596812800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7490089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26902 + ... + 27178.

Almost surely, 2^7490080 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 7490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9615186).

7490080 is an abundant number, since it is smaller than the sum of its proper divisors (11740292).

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

7490080 is a wasteful number, since it uses less digits than its factorization.

7490080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 7490080 is about 2736.8010523237. The cubic root of 7490080 is about 195.6570428990.

The spelling of 7490080 in words is "seven million, four hundred ninety thousand, eighty".