5805460800 has 252 divisors, whose sum is σ = 20709879840. Its totient is φ = 1542435840.

The previous prime is 5805460757. The next prime is 5805460807. The reversal of 5805460800 is 80645085.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5805460807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5169039 + ... + 5170161.

Almost surely, 2^5805460800 is an apocalyptic number.

5805460800 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 5805460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10354939920).

5805460800 is an abundant number, since it is smaller than the sum of its proper divisors (14904419040).

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

5805460800 is a wasteful number, since it uses less digits than its factorization.

5805460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5805460800 is about 76193.5745322399. The cubic root of 5805460800 is about 1797.2654775037.

The spelling of 5805460800 in words is "five billion, eight hundred five million, four hundred sixty thousand, eight hundred".