5760000 has 165 divisors, whose sum is σ = 20783191. Its totient is φ = 1536000.

The previous prime is 5759981. The next prime is 5760011. The reversal of 5760000 is 675.

The square root of 5760000 is 2400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 5308416 = 672^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1151998 + ... + 1152002.

Almost surely, 2^5760000 is an apocalyptic number.

5760000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5760000 is the 2400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5760000

5760000 is an abundant number, since it is smaller than the sum of its proper divisors (15023191).

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

5760000 is an equidigital number, since it uses as much as digits as its factorization.

5760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The cubic root of 5760000 is about 179.2561898623.

Adding to 5760000 its reverse (675), we get a palindrome (5760675).

The spelling of 5760000 in words is "five million, seven hundred sixty thousand".