8002247760 has 240 divisors, whose sum is σ = 29004393600. Its totient is φ = 1965505536.

The previous prime is 8002247749. The next prime is 8002247783. The reversal of 8002247760 is 677422008.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7852531 + ... + 7853549.

It is an arithmetic number, because the mean of its divisors is an integer number (120851640).

Almost surely, 2^8002247760 is an apocalyptic number.

8002247760 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 8002247760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502196800).

8002247760 is an abundant number, since it is smaller than the sum of its proper divisors (21002145840).

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

8002247760 is a wasteful number, since it uses less digits than its factorization.

8002247760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 8002247760 is about 89455.2835778860. The cubic root of 8002247760 is about 2000.1872957929.

Adding to 8002247760 its reverse (677422008), we get a palindrome (8679669768).

The spelling of 8002247760 in words is "eight billion, two million, two hundred forty-seven thousand, seven hundred sixty".