5779120 has 80 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 2143232.

The previous prime is 5779117. The next prime is 5779121. The reversal of 5779120 is 219775.

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

It is not an unprimeable number, because it can be changed into a prime (5779121) 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, 109014 + ... + 109066.

It is an arithmetic number, because the mean of its divisors is an integer number (180792).

Almost surely, 2^5779120 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 5779120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680).

5779120 is an abundant number, since it is smaller than the sum of its proper divisors (8684240).

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

5779120 is a wasteful number, since it uses less digits than its factorization.

5779120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 5779120 is about 2403.9800331950. The cubic root of 5779120 is about 179.4543144571.

The spelling of 5779120 in words is "five million, seven hundred seventy-nine thousand, one hundred twenty".