1. Scalability: Azure HDInsight is a cloud-based service that leverages the power of Azure to provide highly scalable big data processing capabilities. It allows users to easily scale up or down their clusters based on their data processing requirements. On the other hand, Hadoop is an open-source framework that can be deployed on a variety of hardware configurations, but its scalability is limited by the available resources of the hardware it is running on.

2. Managed Service: Azure HDInsight is a managed service, which means that Microsoft takes care of managing the infrastructure, security, and maintenance tasks for the users. It provides automatic updates and patches, reducing the administrative burden for users. On the other hand, Hadoop requires users to manage and maintain their own hardware and software stack, including updates and security configurations.

3. Integration with Azure Services: Azure HDInsight seamlessly integrates with other Azure services, such as Azure Data Lake Storage, Azure Blob Storage, Azure SQL Database, and Azure Machine Learning. This enables users to easily leverage a wide range of Azure capabilities in their big data processing workflow. In contrast, Hadoop does not have built-in integration with Azure services and requires users to set up and manage these integrations themselves.

4. Ease of Use: Azure HDInsight provides a user-friendly interface and various tools, such as Azure Data Studio, Azure PowerShell, and Azure CLI, to manage and interact with the HDInsight clusters. It also supports popular programming languages such as Python, Java, and Scala. Hadoop, on the other hand, requires users to have a deeper understanding of the Hadoop ecosystem and command-line tools to manage and interact with the clusters.

5. Security and Compliance: Azure HDInsight provides built-in security features, such as Azure Active Directory integration, virtual network integration, encryption at rest, and encryption in transit. It also supports auditing and compliance requirements, such as HIPAA and GDPR. Hadoop, on the other hand, requires users to implement and configure their own security measures, making it more complex and time-consuming.

6. Cost Management: Azure HDInsight offers a pay-as-you-go pricing model, allowing users to optimize their costs based on their actual usage. It also provides cost management features, such as autoscaling and cluster resizing, to ensure efficient resource allocation. In contrast, Hadoop requires users to manage and plan their own hardware resources, which can result in higher upfront costs and potential waste of resources when not properly managed.

In summary, Azure HDInsight provides a highly scalable and managed cloud-based solution for big data processing, with seamless integration with other Azure services, ease of use, built-in security and compliance features, and cost management capabilities.