5805785304 has 288 divisors, whose sum is σ = 18426320640. Its totient is φ = 1634371200.

The previous prime is 5805785291. The next prime is 5805785317. The reversal of 5805785304 is 4035875085.

It is an interprime number because it is at equal distance from previous prime (5805785291) and next prime (5805785317).

It is a super-2 number, since 2×5805785304² = 67414285992284744832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5805785304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81771589 + ... + 81771659.

It is an arithmetic number, because the mean of its divisors is an integer number (63980280).

Almost surely, 2^5805785304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5805785304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213160320).

5805785304 is an abundant number, since it is smaller than the sum of its proper divisors (12620535336).

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

5805785304 is a wasteful number, since it uses less digits than its factorization.

5805785304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 5805785304 is about 76195.7039733868. The cubic root of 5805785304 is about 1797.2989637327.

The spelling of 5805785304 in words is "five billion, eight hundred five million, seven hundred eighty-five thousand, three hundred four".