5782100 has 36 divisors (see below), whose sum is σ = 12749184. Its totient is φ = 2275680.

The previous prime is 5782093. The next prime is 5782103. The reversal of 5782100 is 12875.

It is a super-3 number, since 3×5782100³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5782103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6269 + ... + 7131.

It is an arithmetic number, because the mean of its divisors is an integer number (354144).

Almost surely, 2^5782100 is an apocalyptic number.

5782100 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 5782100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374592).

5782100 is an abundant number, since it is smaller than the sum of its proper divisors (6967084).

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

5782100 is a wasteful number, since it uses less digits than its factorization.

5782100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 5782100 is about 2404.5997587956. The cubic root of 5782100 is about 179.4851543291.

Adding to 5782100 its reverse (12875), we get a palindrome (5794975).

The spelling of 5782100 in words is "five million, seven hundred eighty-two thousand, one hundred".