5880760704 has 640 divisors, whose sum is σ = 22559201280. Its totient is φ = 1478062080.

The previous prime is 5880760687. The next prime is 5880760789. The reversal of 5880760704 is 4070670885.

5880760704 is a `hidden beast` number, since 588 + 0 + 7 + 60 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5880760704.

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 79 ways as a sum of consecutive naturals, for example, 21700089 + ... + 21700359.

It is an arithmetic number, because the mean of its divisors is an integer number (35248752).

Almost surely, 2^5880760704 is an apocalyptic number.

5880760704 is a gapful number since it is divisible by the number (54) 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 5880760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279600640).

5880760704 is an abundant number, since it is smaller than the sum of its proper divisors (16678440576).

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

5880760704 is a wasteful number, since it uses less digits than its factorization.

5880760704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 5880760704 is about 76686.1180657882. The cubic root of 5880760704 is about 1805.0026170213.

The spelling of 5880760704 in words is "five billion, eight hundred eighty million, seven hundred sixty thousand, seven hundred four".