5380080 has 80 divisors (see below), whose sum is σ = 17275680. Its totient is φ = 1383424.

The previous prime is 5380079. The next prime is 5380093. The reversal of 5380080 is 800835.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 5380080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6574 + ... + 7346.

It is an arithmetic number, because the mean of its divisors is an integer number (215946).

Almost surely, 2^5380080 is an apocalyptic number.

It is a pronic number, being equal to 2319×2320.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637840).

5380080 is an abundant number, since it is smaller than the sum of its proper divisors (11895600).

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

5380080 is a wasteful number, since it uses less digits than its factorization.

5380080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5380080 is about 2319.4999461091. The cubic root of 5380080 is about 175.2250709519.

The spelling of 5380080 in words is "five million, three hundred eighty thousand, eighty".