880800800000 has 432 divisors, whose sum is σ = 2423517884928. Its totient is φ = 316800000000.

The previous prime is 880800799993. The next prime is 880800800029. The reversal of 880800800000 is 8008088.

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

It is a self number, because there is not a number n which added to its sum of digits gives 880800800000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888799505 + ... + 888800495.

It is an arithmetic number, because the mean of its divisors is an integer number (5609995104).

Almost surely, 2^880800800000 is an apocalyptic number.

880800800000 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 880800800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211758942464).

880800800000 is an abundant number, since it is smaller than the sum of its proper divisors (1542717084928).

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

880800800000 is an equidigital number, since it uses as much as digits as its factorization.

880800800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

Adding to 880800800000 its reverse (8008088), we get a palindrome (880808808088).

The spelling of 880800800000 in words is "eight hundred eighty billion, eight hundred million, eight hundred thousand".