5785120 has 96 divisors (see below), whose sum is σ = 15785280. Its totient is φ = 1981440.

The previous prime is 5785103. The next prime is 5785147. The reversal of 5785120 is 215875.

It is a super-2 number, since 2×5785120² = 66935226828800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33354 + ... + 33526.

It is an arithmetic number, because the mean of its divisors is an integer number (164430).

Almost surely, 2^5785120 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 5785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892640).

5785120 is an abundant number, since it is smaller than the sum of its proper divisors (10000160).

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

5785120 is a wasteful number, since it uses less digits than its factorization.

5785120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 5785120 is about 2405.2276399543. The cubic root of 5785120 is about 179.5163973506.

The spelling of 5785120 in words is "five million, seven hundred eighty-five thousand, one hundred twenty".