5877820 has 72 divisors (see below), whose sum is σ = 14019264. Its totient is φ = 2066688.

The previous prime is 5877797. The next prime is 5877829. The reversal of 5877820 is 287785.

5877820 = T₃₆₁ + T₃₆₂ + ... + T₄₃₄.

5877820 = 96² + 97² + ... + 264².

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 5877820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5877829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125037 + ... + 125083.

It is an arithmetic number, because the mean of its divisors is an integer number (194712).

Almost surely, 2^5877820 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 5877820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009632).

5877820 is an abundant number, since it is smaller than the sum of its proper divisors (8141444).

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

5877820 is a wasteful number, since it uses less digits than its factorization.

5877820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 5877820 is about 2424.4215805012. The cubic root of 5877820 is about 180.4701699975.

The spelling of 5877820 in words is "five million, eight hundred seventy-seven thousand, eight hundred twenty".