8775002880 has 864 divisors, whose sum is σ = 37949917824. Its totient is φ = 1826095104.

The previous prime is 8775002851. The next prime is 8775002881. The reversal of 8775002880 is 882005778.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8775002881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50722474 + ... + 50722646.

It is an arithmetic number, because the mean of its divisors is an integer number (43923516).

Almost surely, 2^8775002880 is an apocalyptic number.

8775002880 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 8775002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974958912).

8775002880 is an abundant number, since it is smaller than the sum of its proper divisors (29174914944).

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

8775002880 is a wasteful number, since it uses less digits than its factorization.

8775002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 8775002880 is about 93674.9853482775. The cubic root of 8775002880 is about 2062.6035262635.

The spelling of 8775002880 in words is "eight billion, seven hundred seventy-five million, two thousand, eight hundred eighty".