5781600 has 216 divisors, whose sum is σ = 22545432. Its totient is φ = 1382400.

The previous prime is 5781599. The next prime is 5781613. The reversal of 5781600 is 61875.

5781600 is a `hidden beast` number, since 57 + 8 + 1 + 600 = 666.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79164 + ... + 79236.

It is an arithmetic number, because the mean of its divisors is an integer number (104377).

Almost surely, 2^5781600 is an apocalyptic number.

5781600 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 5781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11272716).

5781600 is an abundant number, since it is smaller than the sum of its proper divisors (16763832).

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

5781600 is a wasteful number, since it uses less digits than its factorization.

5781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

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

The square root of 5781600 is about 2404.4957891417. The cubic root of 5781600 is about 179.4799805939.

The spelling of 5781600 in words is "five million, seven hundred eighty-one thousand, six hundred".