880016400 has 300 divisors, whose sum is σ = 3196797252. Its totient is φ = 231828480.

The previous prime is 880016393. The next prime is 880016429. The reversal of 880016400 is 4610088.

880016400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 879952896 = 252^2 + 29664^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

880016400 is a modest number, since divided by 16400 gives 8800 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5086714 + ... + 5086886.

Almost surely, 2^880016400 is an apocalyptic number.

880016400 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 880016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598398626).

880016400 is an abundant number, since it is smaller than the sum of its proper divisors (2316780852).

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

880016400 is a wasteful number, since it uses less digits than its factorization.

880016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 880016400 is about 29665.0703690384. The cubic root of 880016400 is about 958.2899243518.

Adding to 880016400 its reverse (4610088), we get a palindrome (884626488).

It can be divided in two parts, 8800 and 16400, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 880016400 in words is "eight hundred eighty million, sixteen thousand, four hundred".