5784400 has 30 divisors (see below), whose sum is σ = 13897982. Its totient is φ = 2313600.

The previous prime is 5784391. The next prime is 5784407. The reversal of 5784400 is 44875.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 5779216 = 72^2 + 2404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5784407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6831 + ... + 7630.

Almost surely, 2^5784400 is an apocalyptic number.

5784400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5784400 is an abundant number, since it is smaller than the sum of its proper divisors (8113582).

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

5784400 is a wasteful number, since it uses less digits than its factorization.

5784400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14479 (or 14468 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 5784400 is about 2405.0779613144. The cubic root of 5784400 is about 179.5089496705.

The spelling of 5784400 in words is "five million, seven hundred eighty-four thousand, four hundred".