880844000 has 144 divisors (see below), whose sum is σ = 2235241008. Its totient is φ = 341120000.

The previous prime is 880843993. The next prime is 880844011. The reversal of 880844000 is 448088.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 6723935 + ... + 6724065.

It is an arithmetic number, because the mean of its divisors is an integer number (15522507).

Almost surely, 2^880844000 is an apocalyptic number.

880844000 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 880844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117620504).

880844000 is an abundant number, since it is smaller than the sum of its proper divisors (1354397008).

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

880844000 is a wasteful number, since it uses less digits than its factorization.

880844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 880844000 is about 29679.0161562003. The cubic root of 880844000 is about 958.5902340040.

The spelling of 880844000 in words is "eight hundred eighty million, eight hundred forty-four thousand".