5879662800 has 240 divisors, whose sum is σ = 20618108928. Its totient is φ = 1420428800.

The previous prime is 5879662777. The next prime is 5879662801. The reversal of 5879662800 is 82669785.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5879662801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5055019 + ... + 5056181.

Almost surely, 2^5879662800 is an apocalyptic number.

5879662800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5879662800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309054464).

5879662800 is an abundant number, since it is smaller than the sum of its proper divisors (14738446128).

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

5879662800 is a wasteful number, since it uses less digits than its factorization.

5879662800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 5879662800 is about 76678.9593043620. The cubic root of 5879662800 is about 1804.8902821817.

The spelling of 5879662800 in words is "five billion, eight hundred seventy-nine million, six hundred sixty-two thousand, eight hundred".