8221577760 has 480 divisors, whose sum is σ = 32022454464. Its totient is φ = 1969920000.

The previous prime is 8221577759. The next prime is 8221577779. The reversal of 8221577760 is 677751228.

8221577760 is a `hidden beast` number, since 8 + 2 + 2 + 1 + 577 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 14398275 + ... + 14398845.

Almost surely, 2^8221577760 is an apocalyptic number.

8221577760 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 8221577760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16011227232).

8221577760 is an abundant number, since it is smaller than the sum of its proper divisors (23800876704).

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

8221577760 is a wasteful number, since it uses less digits than its factorization.

8221577760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 8221577760 is about 90672.9163532309. The cubic root of 8221577760 is about 2018.2969143471.

The spelling of 8221577760 in words is "eight billion, two hundred twenty-one million, five hundred seventy-seven thousand, seven hundred sixty".