8821578240 has 640 divisors, whose sum is σ = 33940684800. Its totient is φ = 2165391360.

The previous prime is 8821578203. The next prime is 8821578247. The reversal of 8821578240 is 428751288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8821578247) 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 63 ways as a sum of consecutive naturals, for example, 49282471 + ... + 49282649.

It is an arithmetic number, because the mean of its divisors is an integer number (53032320).

Almost surely, 2^8821578240 is an apocalyptic number.

8821578240 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 8821578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970342400).

8821578240 is an abundant number, since it is smaller than the sum of its proper divisors (25119106560).

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

8821578240 is a wasteful number, since it uses less digits than its factorization.

8821578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 8821578240 is about 93923.2571837242. The cubic root of 8821578240 is about 2066.2463374562.

The spelling of 8821578240 in words is "eight billion, eight hundred twenty-one million, five hundred seventy-eight thousand, two hundred forty".