880004400 has 240 divisors, whose sum is σ = 3101646720. Its totient is φ = 211507200.

The previous prime is 880004387. The next prime is 880004431. The reversal of 880004400 is 4400088.

880004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×880004400³ (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2151396 + ... + 2151804.

It is an arithmetic number, because the mean of its divisors is an integer number (12923528).

Almost surely, 2^880004400 is an apocalyptic number.

880004400 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 880004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550823360).

880004400 is an abundant number, since it is smaller than the sum of its proper divisors (2221642320).

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

880004400 is a wasteful number, since it uses less digits than its factorization.

880004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

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

The square root of 880004400 is about 29664.8681102748. The cubic root of 880004400 is about 958.2855685498.

Adding to 880004400 its reverse (4400088), we get a palindrome (884404488).

The spelling of 880004400 in words is "eight hundred eighty million, four thousand, four hundred".