8802864000 has 1024 divisors, whose sum is σ = 38494310400. Its totient is φ = 1935360000.

The previous prime is 8802863987. The next prime is 8802864001. The reversal of 8802864000 is 4682088.

8802864000 is a `hidden beast` number, since 8 + 8 + 0 + 2 + 8 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8802864001) 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 127 ways as a sum of consecutive naturals, for example, 123983965 + ... + 123984035.

It is an arithmetic number, because the mean of its divisors is an integer number (37592100).

Almost surely, 2^8802864000 is an apocalyptic number.

8802864000 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 8802864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247155200).

8802864000 is an abundant number, since it is smaller than the sum of its proper divisors (29691446400).

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

8802864000 is a wasteful number, since it uses less digits than its factorization.

8802864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8802864000 is about 93823.5791259319. The cubic root of 8802864000 is about 2064.7841801232.

The spelling of 8802864000 in words is "eight billion, eight hundred two million, eight hundred sixty-four thousand".