880480 has 24 divisors (see below), whose sum is σ = 2080512. Its totient is φ = 352128.

The previous prime is 880427. The next prime is 880483. The reversal of 880480 is 84088.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880483) by changing a digit.

880480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2592 + ... + 2911.

It is an arithmetic number, because the mean of its divisors is an integer number (86688).

2⁸⁸⁰⁴⁸⁰ is an apocalyptic number.

880480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

880480 is an abundant number, since it is smaller than the sum of its proper divisors (1200032).

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

880480 is a wasteful number, since it uses less digits than its factorization.

880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 5510 counting only the distinct ones).

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

The square root of 880480 is about 938.3389579464. The cubic root of 880480 is about 95.8458173193.

The spelling of 880480 in words is "eight hundred eighty thousand, four hundred eighty".