5780756160 has 336 divisors, whose sum is σ = 21837737376. Its totient is φ = 1450524672.

The previous prime is 5780756159. The next prime is 5780756167. The reversal of 5780756160 is 616570875.

5780756160 is a `hidden beast` number, since 5 + 7 + 80 + 7 + 561 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5780756167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1319734 + ... + 1324106.

It is an arithmetic number, because the mean of its divisors is an integer number (64993266).

Almost surely, 2^5780756160 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 5780756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10918868688).

5780756160 is an abundant number, since it is smaller than the sum of its proper divisors (16056981216).

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

5780756160 is a wasteful number, since it uses less digits than its factorization.

5780756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5780756160 is about 76031.2840875386. The cubic root of 5780756160 is about 1794.7124830779.

The spelling of 5780756160 in words is "five billion, seven hundred eighty million, seven hundred fifty-six thousand, one hundred sixty".