5765120 has 48 divisors (see below), whose sum is σ = 13857480. Its totient is φ = 2301952.

The previous prime is 5765093. The next prime is 5765143. The reversal of 5765120 is 215675.

It is a super-2 number, since 2×5765120² = 66473217228800, which contains 22 as substring.

It is a d-powerful number, because it can be written as 5³ + 7⁸ + 6² + 5³ + 1 + 2⁵ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 5765120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9959 + ... + 10521.

Almost surely, 2^5765120 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 5765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928740).

5765120 is an abundant number, since it is smaller than the sum of its proper divisors (8092360).

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

5765120 is an equidigital number, since it uses as much as digits as its factorization.

5765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 5765120 is about 2401.0664297349. The cubic root of 5765120 is about 179.3092870780.

It can be divided in two parts, 5765 and 120, that added together give a palindrome (5885).

The spelling of 5765120 in words is "five million, seven hundred sixty-five thousand, one hundred twenty".