5782970880 has 240 divisors, whose sum is σ = 20108088000. Its totient is φ = 1535975424.

The previous prime is 5782970839. The next prime is 5782970917. The reversal of 5782970880 is 880792875.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11496709 + ... + 11497211.

It is an arithmetic number, because the mean of its divisors is an integer number (83783700).

Almost surely, 2^5782970880 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 5782970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054044000).

5782970880 is an abundant number, since it is smaller than the sum of its proper divisors (14325117120).

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

5782970880 is a wasteful number, since it uses less digits than its factorization.

5782970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 5782970880 is about 76045.8472238951. The cubic root of 5782970880 is about 1794.9416502216.

The spelling of 5782970880 in words is "five billion, seven hundred eighty-two million, nine hundred seventy thousand, eight hundred eighty".