804880 has 20 divisors (see below), whose sum is σ = 1871532. Its totient is φ = 321920.

The previous prime is 804877. The next prime is 804889. The reversal of 804880 is 88408.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 430336 = 612^2 + 656^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (804889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4951 + ... + 5110.

2⁸⁰⁴⁸⁸⁰ is an apocalyptic number.

804880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804880 is an abundant number, since it is smaller than the sum of its proper divisors (1066652).

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

804880 is a wasteful number, since it uses less digits than its factorization.

804880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 804880 is about 897.1510463684. The cubic root of 804880 is about 93.0201521057.

It can be divided in two parts, 8048 and 80, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 804880 in words is "eight hundred four thousand, eight hundred eighty".