5761082880 has 720 divisors, whose sum is σ = 24161623200. Its totient is φ = 1316818944.

The previous prime is 5761082869. The next prime is 5761082903. The reversal of 5761082880 is 882801675.

5761082880 is a `hidden beast` number, since 5 + 7 + 610 + 8 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 823011837 + ... + 823011843.

It is an arithmetic number, because the mean of its divisors is an integer number (33557810).

Almost surely, 2^5761082880 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 5761082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080811600).

5761082880 is an abundant number, since it is smaller than the sum of its proper divisors (18400540320).

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

5761082880 is an frugal number, since it uses more digits than its factorization.

5761082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5761082880 is about 75901.7976071713. The cubic root of 5761082880 is about 1792.6742254630.

5761082880 divided by its sum of digits (45) gives a cube (128024064 = 504³).

The spelling of 5761082880 in words is "five billion, seven hundred sixty-one million, eighty-two thousand, eight hundred eighty".