5780880 has 240 divisors, whose sum is σ = 23522304. Its totient is φ = 1244160.

The previous prime is 5780857. The next prime is 5780881. The reversal of 5780880 is 880875.

5780880 is a `hidden beast` number, since 578 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5780881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156222 + ... + 156258.

Almost surely, 2^5780880 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 5780880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761152).

5780880 is an abundant number, since it is smaller than the sum of its proper divisors (17741424).

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

5780880 is a wasteful number, since it uses less digits than its factorization.

5780880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 5780880 is about 2404.3460649416. The cubic root of 5780880 is about 179.4725298910.

The spelling of 5780880 in words is "five million, seven hundred eighty thousand, eight hundred eighty".