5777488080 has 1440 divisors, whose sum is σ = 27938390400. Its totient is φ = 1086898176.

The previous prime is 5777488049. The next prime is 5777488091. The reversal of 5777488080 is 808847775.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 304078311 + ... + 304078329.

It is an arithmetic number, because the mean of its divisors is an integer number (19401660).

Almost surely, 2^5777488080 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 5777488080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13969195200).

5777488080 is an abundant number, since it is smaller than the sum of its proper divisors (22160902320).

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

5777488080 is a wasteful number, since it uses less digits than its factorization.

5777488080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The square root of 5777488080 is about 76009.7893695279. The cubic root of 5777488080 is about 1794.3742130522.

The spelling of 5777488080 in words is "five billion, seven hundred seventy-seven million, four hundred eighty-eight thousand, eighty".