I can't connect to the default Postgres image from a separate docker service running node & Sequelize.

I'm assuming that my setup of the container is not correct and also perhaps my connection info is incorrect too because I when I run docker-compose --build I cannot connect to my database using the connection info:

Host: 0.0.0.0
Port: 5432
User: guy
Password: password
Database: engauge

The error message is

Unable to connect to the database: { SequelizeConnectionRefusedError: connect ECONNREFUSED 0.0.0.0:5432
at /usr/src/app/node_modules/sequelize/lib/dialects/postgres/connection-manager.js:98:20

I am running with a YML file that looks like this

version: '2' # specify docker-compose version

# Define the services/containers to be run
services:
  web: # name of the first service
    build: . # specify the directory of the Dockerfile
    ports:
      - "3000:3000" # specify port forewarding
    links:
      - database
  database: # name of the third service
    image: postgres # specify image to build container from
    ports:
      - "5432:5432" # specify port forewarding
    environment:
         - POSTGRES_USER:'guy'
         - POSTGRES_PASSWORD:'password'
         - POSTGRES_DB:'engauge'

And my connection from within my web service looks like this

const sequelize = new Sequelize('postgresql://guy:password@0.0.0.0/engauge');