7600

7600 is the natural number that follows 7599 and precedes 7601. In base-10 notation, it is written as 7600 and is the fifth multiple of 19 in the set of numbers that combine powers of 2, 5, and 19.

Its prime factorization is 2^4 × 5^2 × 19, making it a composite number. It has 30 positive divisors, including 1 and itself. The sum of all divisors is 19,220, and Euler's totient function φ(7600) = 2,880.

In mathematics, 7600 serves as an example of a highly composite-like structure arising from the product of small prime powers. It is even and not a prime, and its divisor pattern reflects the exponents in its factorization. The number also appears in various arithmetic computations and can be used in problems that involve divisor counting and modular arithmetic.

In computing and consumer electronics, 7600 has appeared as a model number for certain devices. Notably, Nvidia released a GeForce 7600 series of graphics processing units, including variants such as the 7600 GT and 7600 GS, which were available in the mid-2000s. Such model numbers illustrate how the sequence is used to designate product lines rather than a mathematical property alone.

Beyond mathematics and electronics, 7600 is also used as a numeric designation in catalogs, part numbers, routes, and addresses, reflecting its role as a convenient, round four-digit figure in various naming schemes.