5820880 has 80 divisors (see below), whose sum is σ = 15155280. Its totient is φ = 2064384.

The previous prime is 5820869. The next prime is 5820883. The reversal of 5820880 is 880285.

It can be written as a sum of positive squares in 8 ways, for example, as 839056 + 4981824 = 916^2 + 2232^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5820883) 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, 30064 + ... + 30256.

It is an arithmetic number, because the mean of its divisors is an integer number (189441).

Almost surely, 2^5820880 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 5820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577640).

5820880 is an abundant number, since it is smaller than the sum of its proper divisors (9334400).

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

5820880 is a wasteful number, since it uses less digits than its factorization.

5820880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 5820880 is about 2412.6499953371. The cubic root of 5820880 is about 179.8855239190.

It can be divided in two parts, 5820 and 880, that multiplied together give a triangular number (5121600 = T₃₂₀₀).

The spelling of 5820880 in words is "five million, eight hundred twenty thousand, eight hundred eighty".