5382780480 has 1344 divisors, whose sum is σ = 25562234880. Its totient is φ = 1045094400.

The previous prime is 5382780391. The next prime is 5382780517. The reversal of 5382780480 is 840872835.

5382780480 is a `hidden beast` number, since 538 + 2 + 78 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 173638065 + ... + 173638095.

It is an arithmetic number, because the mean of its divisors is an integer number (19019520).

Almost surely, 2^5382780480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5382780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781117440).

5382780480 is an abundant number, since it is smaller than the sum of its proper divisors (20179454400).

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

5382780480 is a wasteful number, since it uses less digits than its factorization.

5382780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5382780480 is about 73367.4347377636. The cubic root of 5382780480 is about 1752.5438356750.

The spelling of 5382780480 in words is "five billion, three hundred eighty-two million, seven hundred eighty thousand, four hundred eighty".