5756400 has 240 divisors, whose sum is σ = 22602720. Its totient is φ = 1382400.

The previous prime is 5756389. The next prime is 5756447. The reversal of 5756400 is 46575.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5756400² = 66272281920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140380 + ... + 140420.

It is an arithmetic number, because the mean of its divisors is an integer number (94178).

Almost surely, 2^5756400 is an apocalyptic number.

5756400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5756400 is the 1200-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11301360).

5756400 is an abundant number, since it is smaller than the sum of its proper divisors (16846320).

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

5756400 is a wasteful number, since it uses less digits than its factorization.

5756400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5756400 is about 2399.2498827759. The cubic root of 5756400 is about 179.2188370398.

The spelling of 5756400 in words is "five million, seven hundred fifty-six thousand, four hundred".