5766878880 has 288 divisors, whose sum is σ = 22627672704. Its totient is φ = 1310128128.

The previous prime is 5766878869. The next prime is 5766878963. The reversal of 5766878880 is 888786675.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1742187 + ... + 1745493.

It is an arithmetic number, because the mean of its divisors is an integer number (78568308).

Almost surely, 2^5766878880 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 5766878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313836352).

5766878880 is an abundant number, since it is smaller than the sum of its proper divisors (16860793824).

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

5766878880 is a wasteful number, since it uses less digits than its factorization.

5766878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The square root of 5766878880 is about 75939.9689228275. The cubic root of 5766878880 is about 1793.2752037591.

The spelling of 5766878880 in words is "five billion, seven hundred sixty-six million, eight hundred seventy-eight thousand, eight hundred eighty".