880530000 has 300 divisors, whose sum is σ = 3312064800. Its totient is φ = 200928000.

The previous prime is 880529941. The next prime is 880530023. The reversal of 880530000 is 35088.

880530000 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 (300).

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

It is a congruent number.

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, 1469701 + ... + 1470299.

It is an arithmetic number, because the mean of its divisors is an integer number (11040216).

Almost surely, 2^880530000 is an apocalyptic number.

880530000 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 880530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656032400).

880530000 is an abundant number, since it is smaller than the sum of its proper divisors (2431534800).

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

880530000 is a wasteful number, since it uses less digits than its factorization.

880530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 880530000 is about 29673.7257519173. The cubic root of 880530000 is about 958.4763155702.

Adding to 880530000 its reverse (35088), we get a palindrome (880565088).

The spelling of 880530000 in words is "eight hundred eighty million, five hundred thirty thousand".