5327380800 has 672 divisors, whose sum is σ = 22576332800. Its totient is φ = 1196881920.

The previous prime is 5327380781. The next prime is 5327380837. The reversal of 5327380800 is 80837235.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23889489 + ... + 23889711.

Almost surely, 2^5327380800 is an apocalyptic number.

5327380800 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 5327380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11288166400).

5327380800 is an abundant number, since it is smaller than the sum of its proper divisors (17248952000).

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

5327380800 is a wasteful number, since it uses less digits than its factorization.

5327380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5327380800 is about 72988.9087464664. The cubic root of 5327380800 is about 1746.5106853956.

The spelling of 5327380800 in words is "five billion, three hundred twenty-seven million, three hundred eighty thousand, eight hundred".