5300380800 has 1080 divisors, whose sum is σ = 23280375195. Its totient is φ = 1186099200.

The previous prime is 5300380777. The next prime is 5300380801. The reversal of 5300380800 is 80830035.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 331822656 + 4968558144 = 18216^2 + 70488^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=51480.

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

It is not an unprimeable number, because it can be changed into a prime (5300380801) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 407721594 + ... + 407721606.

Almost surely, 2^5300380800 is an apocalyptic number.

5300380800 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 5300380800

5300380800 is an abundant number, since it is smaller than the sum of its proper divisors (17979994395).

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

5300380800 is a wasteful number, since it uses less digits than its factorization.

5300380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5300380800 is about 72803.7141909669. The cubic root of 5300380800 is about 1743.5551568628. Note that the first 3 decimals are identical.

The spelling of 5300380800 in words is "five billion, three hundred million, three hundred eighty thousand, eight hundred".