5705380800 has 840 divisors, whose sum is σ = 25305146240. Its totient is φ = 1231718400.

The previous prime is 5705380799. The next prime is 5705380873. The reversal of 5705380800 is 80835075.

It is a happy number.

5705380800 is a `hidden beast` number, since 570 + 5 + 3 + 8 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17236635 + ... + 17236965.

Almost surely, 2^5705380800 is an apocalyptic number.

5705380800 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 5705380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652573120).

5705380800 is an abundant number, since it is smaller than the sum of its proper divisors (19599765440).

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

5705380800 is a wasteful number, since it uses less digits than its factorization.

5705380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5705380800 is about 75533.9711652975. The cubic root of 5705380800 is about 1786.8779050259.

The spelling of 5705380800 in words is "five billion, seven hundred five million, three hundred eighty thousand, eight hundred".