5234770800 has 300 divisors, whose sum is σ = 21471984336. Its totient is φ = 1196467200.

The previous prime is 5234770789. The next prime is 5234770837. The reversal of 5234770800 is 80774325.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 215260 + ... + 238340.

Almost surely, 2^5234770800 is an apocalyptic number.

5234770800 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 5234770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10735992168).

5234770800 is an abundant number, since it is smaller than the sum of its proper divisors (16237213536).

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

5234770800 is a wasteful number, since it uses less digits than its factorization.

5234770800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23118 (or 23098 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5234770800 is about 72351.7159437148. The cubic root of 5234770800 is about 1736.3311518311.

The spelling of 5234770800 in words is "five billion, two hundred thirty-four million, seven hundred seventy thousand, eight hundred".