5879044800 has 252 divisors, whose sum is σ = 21670854296. Its totient is φ = 1567641600.

The previous prime is 5879044783. The next prime is 5879044837. The reversal of 5879044800 is 84409785.

5879044800 is a `hidden beast` number, since 5 + 87 + 90 + 4 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381240 + ... + 396360.

Almost surely, 2^5879044800 is an apocalyptic number.

5879044800 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 5879044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835427148).

5879044800 is an abundant number, since it is smaller than the sum of its proper divisors (15791809496).

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

5879044800 is a wasteful number, since it uses less digits than its factorization.

5879044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15158 (or 15131 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5879044800 is about 76674.9294098143. The cubic root of 5879044800 is about 1804.8270437890.

It can be divided in two parts, 587904 and 4800, that added together give a cube (592704 = 84³).

The spelling of 5879044800 in words is "five billion, eight hundred seventy-nine million, forty-four thousand, eight hundred".