5798707200 has 810 divisors, whose sum is σ = 24587898062. Its totient is φ = 1297612800.

The previous prime is 5798707199. The next prime is 5798707231. The reversal of 5798707200 is 27078975.

5798707200 is a `hidden beast` number, since 579 + 8 + 7 + 0 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17842176 + 5780865024 = 4224^2 + 76032^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 446054394 + ... + 446054406.

Almost surely, 2^5798707200 is an apocalyptic number.

5798707200 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 5798707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293949031).

5798707200 is an abundant number, since it is smaller than the sum of its proper divisors (18789190862).

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

5798707200 is a wasteful number, since it uses less digits than its factorization.

5798707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 5798707200 is about 76149.2429377995. The cubic root of 5798707200 is about 1796.5682763464.

The spelling of 5798707200 in words is "five billion, seven hundred ninety-eight million, seven hundred seven thousand, two hundred".