880300800 has 648 divisors, whose sum is σ = 3558522240. Its totient is φ = 206438400.

The previous prime is 880300793. The next prime is 880300801. The reversal of 880300800 is 8003088.

It is not an unprimeable number, because it can be changed into a prime (880300801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 28396785 + ... + 28396815.

Almost surely, 2^880300800 is an apocalyptic number.

880300800 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 880300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779261120).

880300800 is an abundant number, since it is smaller than the sum of its proper divisors (2678221440).

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

880300800 is a wasteful number, since it uses less digits than its factorization.

880300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

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

The square root of 880300800 is about 29669.8634981693. The cubic root of 880300800 is about 958.3931452692.

Adding to 880300800 its reverse (8003088), we get a palindrome (888303888).

The spelling of 880300800 in words is "eight hundred eighty million, three hundred thousand, eight hundred".