5782800 has 120 divisors (see below), whose sum is σ = 19066240. Its totient is φ = 1497600.

The previous prime is 5782793. The next prime is 5782801. The reversal of 5782800 is 82875.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5782801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73161 + ... + 73239.

Almost surely, 2^5782800 is an apocalyptic number.

5782800 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 5782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533120).

5782800 is an abundant number, since it is smaller than the sum of its proper divisors (13283440).

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

5782800 is a wasteful number, since it uses less digits than its factorization.

5782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 5782800 is about 2404.7453087593. The cubic root of 5782800 is about 179.4923970575.

The spelling of 5782800 in words is "five million, seven hundred eighty-two thousand, eight hundred".