5760500 has 48 divisors (see below), whose sum is σ = 12933648. Its totient is φ = 2240000.

The previous prime is 5760497. The next prime is 5760509. The reversal of 5760500 is 50675.

It can be written as a sum of positive squares in 8 ways, for example, as 2951524 + 2808976 = 1718^2 + 1676^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20360 + ... + 20640.

It is an arithmetic number, because the mean of its divisors is an integer number (269451).

Almost surely, 2^5760500 is an apocalyptic number.

5760500 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 5760500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466824).

5760500 is an abundant number, since it is smaller than the sum of its proper divisors (7173148).

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

5760500 is a wasteful number, since it uses less digits than its factorization.

5760500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 5760500 is about 2400.1041644062. The cubic root of 5760500 is about 179.2613765233.

It can be divided in two parts, 5 and 760500, that multiplied together give a square (3802500 = 1950²).

The spelling of 5760500 in words is "five million, seven hundred sixty thousand, five hundred".