import arcpy

from arcpy import env

env.workspace = "C:/data/Habitat_Analysis.gdb"

arcpy.Statistics_analysis("FIELD_NAME", "C:/output/output.gdb/TABLE_OUTPUT", [["SUM"]])

int_fields = arcpy.ListFields("C:/data/Habitat_Analysis.gdb", , "Integer")

small_int_fields = arcpy.ListFields("C:/data/Habitat_Analysis.gdb", , "SmallInteger")

double_fields = arcpy.ListFields("C:/data/Habitat_Analysis.gdb", , "Double")

fields = int_fields + small_int_fields + double_fields

# Import system modules
import arcpy

# Set environment settings
env.workspace = "C:/data/Habitat_Analysis.gdb"

# Set local variables
intable = "FIELD_NAME"
outtable = "C:/output/output.gdb/TABLE_OUTPUT"
# casefield = "Name" Not used
stats = []

# Loop through all fields in the Input Table
for field in arcpy.ListFields(intable):
    # Just find the fields that have a numeric type
    if field.type in ("Double", "Integer", "Single", "SmallInteger"):
        # Add the field name and Sum statistic type
        #    to the list of fields to summarize
        stats.append([field.name, "Sum"])
# Correct formatting of stats [["Field1", "Sum"], ["Field2", "Sum"], ...]

# Run the Summary Statistics tool with the stats list
arcpy.Statistics_analysis(intable, outtable, stats)