8180880768 has 384 divisors, whose sum is σ = 26138112000. Its totient is φ = 2539579392.

The previous prime is 8180880761. The next prime is 8180880793. The reversal of 8180880768 is 8670880818.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8180880761) by changing a digit.

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, 64416321 + ... + 64416447.

It is an arithmetic number, because the mean of its divisors is an integer number (68068000).

Almost surely, 2^8180880768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8180880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069056000).

8180880768 is an abundant number, since it is smaller than the sum of its proper divisors (17957231232).

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

8180880768 is a wasteful number, since it uses less digits than its factorization.

8180880768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The square root of 8180880768 is about 90448.2214750517. The cubic root of 8180880768 is about 2014.9611995148.

The spelling of 8180880768 in words is "eight billion, one hundred eighty million, eight hundred eighty thousand, seven hundred sixty-eight".