5782980 has 96 divisors (see below), whose sum is σ = 18950400. Its totient is φ = 1317120.

The previous prime is 5782969. The next prime is 5782981. The reversal of 5782980 is 892875.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5782981) by changing a digit.

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, 20440 + ... + 20720.

It is an arithmetic number, because the mean of its divisors is an integer number (197400).

Almost surely, 2^5782980 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 5782980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475200).

5782980 is an abundant number, since it is smaller than the sum of its proper divisors (13167420).

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

5782980 is a wasteful number, since it uses less digits than its factorization.

5782980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 5782980 is about 2404.7827344690. The cubic root of 5782980 is about 179.4942593788.

The spelling of 5782980 in words is "five million, seven hundred eighty-two thousand, nine hundred eighty".