5780170880 has 256 divisors, whose sum is σ = 16098048000. Its totient is φ = 1962455040.

The previous prime is 5780170859. The next prime is 5780170943. The reversal of 5780170880 is 880710875.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10566767 + ... + 10567313.

It is an arithmetic number, because the mean of its divisors is an integer number (62883000).

Almost surely, 2^5780170880 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 5780170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049024000).

5780170880 is an abundant number, since it is smaller than the sum of its proper divisors (10317877120).

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

5780170880 is a wasteful number, since it uses less digits than its factorization.

5780170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 44.

The square root of 5780170880 is about 76027.4350481456. The cubic root of 5780170880 is about 1794.6519117187.

The spelling of 5780170880 in words is "five billion, seven hundred eighty million, one hundred seventy thousand, eight hundred eighty".