804088480 has 144 divisors (see below), whose sum is σ = 2081860704. Its totient is φ = 293329920.

The previous prime is 804088459. The next prime is 804088489. The reversal of 804088480 is 84880408.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (804088489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3542127 + ... + 3542353.

It is an arithmetic number, because the mean of its divisors is an integer number (14457366).

Almost surely, 2^804088480 is an apocalyptic number.

804088480 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 804088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040930352).

804088480 is an abundant number, since it is smaller than the sum of its proper divisors (1277772224).

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

804088480 is a wasteful number, since it uses less digits than its factorization.

804088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 804088480 is about 28356.4539390947. The cubic root of 804088480 is about 929.8965006029.

It can be divided in two parts, 80408 and 8480, that added together give a palindrome (88888).

The spelling of 804088480 in words is "eight hundred four million, eighty-eight thousand, four hundred eighty".