5578320 has 80 divisors (see below), whose sum is σ = 18873792. Its totient is φ = 1351680.

The previous prime is 5578319. The next prime is 5578327. The reversal of 5578320 is 238755.

It is a happy number.

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

It is a super-2 number, since 2×5578320² = 62235308044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5578327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1584 + ... + 3696.

Almost surely, 2^5578320 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 5578320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9436896).

5578320 is an abundant number, since it is smaller than the sum of its proper divisors (13295472).

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

5578320 is a wasteful number, since it uses less digits than its factorization.

5578320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5578320 is about 2361.8467350783. The cubic root of 5578320 is about 177.3513401857.

The spelling of 5578320 in words is "five million, five hundred seventy-eight thousand, three hundred twenty".