804888000 has 336 divisors, whose sum is σ = 3292595904. Its totient is φ = 183859200.

The previous prime is 804887977. The next prime is 804888067. The reversal of 804888000 is 888408.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503202 + ... + 504798.

Almost surely, 2^804888000 is an apocalyptic number.

804888000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646297952).

804888000 is an abundant number, since it is smaller than the sum of its proper divisors (2487707904).

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

804888000 is a wasteful number, since it uses less digits than its factorization.

804888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 804888000 is about 28370.5481089104. The cubic root of 804888000 is about 930.2046029196.

It can be divided in two parts, 80488 and 8000, that added together give a palindrome (88488).

The spelling of 804888000 in words is "eight hundred four million, eight hundred eighty-eight thousand".