5789398800 has 240 divisors, whose sum is σ = 20153630720. Its totient is φ = 1415232000.

The previous prime is 5789398787. The next prime is 5789398801. The reversal of 5789398800 is 88939875.

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

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (5789398801) 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, 702705 + ... + 710895.

Almost surely, 2^5789398800 is an apocalyptic number.

5789398800 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 5789398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076815360).

5789398800 is an abundant number, since it is smaller than the sum of its proper divisors (14364231920).

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

5789398800 is a wasteful number, since it uses less digits than its factorization.

5789398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The square root of 5789398800 is about 76088.0989380074. The cubic root of 5789398800 is about 1795.6064451501.

The spelling of 5789398800 in words is "five billion, seven hundred eighty-nine million, three hundred ninety-eight thousand, eight hundred".