5782080 has 112 divisors (see below), whose sum is σ = 19385280. Its totient is φ = 1456128.

The previous prime is 5782043. The next prime is 5782093. The reversal of 5782080 is 802875.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18082 + ... + 18398.

Almost surely, 2^5782080 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 5782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9692640).

5782080 is an abundant number, since it is smaller than the sum of its proper divisors (13603200).

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

5782080 is a wasteful number, since it uses less digits than its factorization.

5782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 5782080 is about 2404.5956000958. The cubic root of 5782080 is about 179.4849473855.

The spelling of 5782080 in words is "five million, seven hundred eighty-two thousand, eighty".