880044000 has 384 divisors, whose sum is σ = 3226728960. Its totient is φ = 207872000.

The previous prime is 880043999. The next prime is 880044019. The reversal of 880044000 is 440088.

880044000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×880044000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7787944 + ... + 7788056.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2^880044000 is an apocalyptic number.

880044000 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 880044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613364480).

880044000 is an abundant number, since it is smaller than the sum of its proper divisors (2346684960).

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

880044000 is a wasteful number, since it uses less digits than its factorization.

880044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 880044000 is about 29665.5355589613. The cubic root of 880044000 is about 958.2999425459.

Adding to 880044000 its reverse (440088), we get a palindrome (880484088).

It can be divided in two parts, 8 and 80044000, that added together give a palindrome (80044008).

The spelling of 880044000 in words is "eight hundred eighty million, forty-four thousand".