880504768 has 224 divisors, whose sum is σ = 2212116480. Its totient is φ = 341975040.

The previous prime is 880504763. The next prime is 880504829. The reversal of 880504768 is 867405088.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880504763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9893268 + ... + 9893356.

It is an arithmetic number, because the mean of its divisors is an integer number (9875520).

Almost surely, 2^880504768 is an apocalyptic number.

880504768 is a gapful number since it is divisible by the number (88) 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 880504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106058240).

880504768 is an abundant number, since it is smaller than the sum of its proper divisors (1331611712).

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

880504768 is a wasteful number, since it uses less digits than its factorization.

880504768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 880504768 is about 29673.3005916093. The cubic root of 880504768 is about 958.4671602866.

The spelling of 880504768 in words is "eight hundred eighty million, five hundred four thousand, seven hundred sixty-eight".