5877120 has 64 divisors (see below), whose sum is σ = 18739440. Its totient is φ = 1566720.

The previous prime is 5877103. The next prime is 5877127. The reversal of 5877120 is 217785.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 (5877127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390 + ... + 3450.

Almost surely, 2^5877120 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 5877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369720).

5877120 is an abundant number, since it is smaller than the sum of its proper divisors (12862320).

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

5877120 is a wasteful number, since it uses less digits than its factorization.

5877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 5877120 is about 2424.2772118716. The cubic root of 5877120 is about 180.4630055423.

The spelling of 5877120 in words is "five million, eight hundred seventy-seven thousand, one hundred twenty".