5740800 has 216 divisors, whose sum is σ = 21290304. Its totient is φ = 1351680.

The previous prime is 5740799. The next prime is 5740829. The reversal of 5740800 is 80475.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249589 + ... + 249611.

Almost surely, 2^5740800 is an apocalyptic number.

5740800 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 5740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10645152).

5740800 is an abundant number, since it is smaller than the sum of its proper divisors (15549504).

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

5740800 is a wasteful number, since it uses less digits than its factorization.

5740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5740800 is about 2395.9966610995. The cubic root of 5740800 is about 179.0567946033.

The spelling of 5740800 in words is "five million, seven hundred forty thousand, eight hundred".