5877760 has 104 divisors (see below), whose sum is σ = 16513056. Its totient is φ = 1966080.

The previous prime is 5877737. The next prime is 5877763. The reversal of 5877760 is 677785.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5877763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143340 + ... + 143380.

Almost surely, 2^5877760 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 5877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256528).

5877760 is an abundant number, since it is smaller than the sum of its proper divisors (10635296).

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

5877760 is an equidigital number, since it uses as much as digits as its factorization.

5877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 5877760 is about 2424.4092063841. The cubic root of 5877760 is about 180.4695559236.

The spelling of 5877760 in words is "five million, eight hundred seventy-seven thousand, seven hundred sixty".