5380480800 has 432 divisors, whose sum is σ = 20530560960. Its totient is φ = 1321297920.

The previous prime is 5380480771. The next prime is 5380480813. The reversal of 5380480800 is 80840835.

5380480800 is a `hidden beast` number, since 538 + 0 + 48 + 0 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5061069 + ... + 5062131.

Almost surely, 2^5380480800 is an apocalyptic number.

5380480800 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 5380480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265280480).

5380480800 is an abundant number, since it is smaller than the sum of its proper divisors (15150080160).

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

5380480800 is a wasteful number, since it uses less digits than its factorization.

5380480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5380480800 is about 73351.7607150640. The cubic root of 5380480800 is about 1752.2942209321.

The spelling of 5380480800 in words is "five billion, three hundred eighty million, four hundred eighty thousand, eight hundred".