5760900 has 108 divisors (see below), whose sum is σ = 18652452. Its totient is φ = 1486080.

The previous prime is 5760899. The next prime is 5760907. The reversal of 5760900 is 90675.

5760900 is a `hidden beast` number, since 57 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 589824 + 5171076 = 768^2 + 2274^2 .

It is not an unprimeable number, because it can be changed into a prime (5760907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33214 + ... + 33386.

Almost surely, 2^5760900 is an apocalyptic number.

5760900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5760900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326226).

5760900 is an abundant number, since it is smaller than the sum of its proper divisors (12891552).

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

5760900 is a wasteful number, since it uses less digits than its factorization.

5760900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5760900 is about 2400.1874926764. The cubic root of 5760900 is about 179.2655256360.

The spelling of 5760900 in words is "five million, seven hundred sixty thousand, nine hundred".