5761800 has 192 divisors, whose sum is σ = 21873600. Its totient is φ = 1382400.

The previous prime is 5761783. The next prime is 5761801. The reversal of 5761800 is 81675.

5761800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5761801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59352 + ... + 59448.

It is an arithmetic number, because the mean of its divisors is an integer number (113925).

Almost surely, 2^5761800 is an apocalyptic number.

5761800 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 5761800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936800).

5761800 is an abundant number, since it is smaller than the sum of its proper divisors (16111800).

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

5761800 is a wasteful number, since it uses less digits than its factorization.

5761800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5761800 is about 2400.3749707077. The cubic root of 5761800 is about 179.2748604373.

It can be divided in two parts, 5761 and 800, that added together give a 8-th power (6561 = 3⁸).

The spelling of 5761800 in words is "five million, seven hundred sixty-one thousand, eight hundred".