5878880 has 96 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1935360.

The previous prime is 5878877. The next prime is 5878927. The reversal of 5878880 is 888785.

It is a super-2 number, since 2×5878880² = 69122460108800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32390 + ... + 32570.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^5878880 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 5878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5878880 is an abundant number, since it is smaller than the sum of its proper divisors (10632160).

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

5878880 is a wasteful number, since it uses less digits than its factorization.

5878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 44.

The square root of 5878880 is about 2424.6401794906. The cubic root of 5878880 is about 180.4810179469.

The spelling of 5878880 in words is "five million, eight hundred seventy-eight thousand, eight hundred eighty".