5742800 has 90 divisors (see below), whose sum is σ = 16104438. Its totient is φ = 1962240.

The previous prime is 5742799. The next prime is 5742809. The reversal of 5742800 is 82475.

It can be written as a sum of positive squares in 3 ways, for example, as 1449616 + 4293184 = 1204^2 + 2072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5742800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19454 + ... + 19746.

Almost surely, 2^5742800 is an apocalyptic number.

5742800 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 5742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052219).

5742800 is an abundant number, since it is smaller than the sum of its proper divisors (10361638).

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

5742800 is a wasteful number, since it uses less digits than its factorization.

5742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 5742800 is about 2396.4139876073. The cubic root of 5742800 is about 179.0775856667.

The spelling of 5742800 in words is "five million, seven hundred forty-two thousand, eight hundred".