747331200 has 576 divisors, whose sum is σ = 3334518720. Its totient is φ = 154828800.

The previous prime is 747331187. The next prime is 747331201. The reversal of 747331200 is 2133747.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217432 + ... + 2217768.

It is an arithmetic number, because the mean of its divisors is an integer number (5789095).

Almost surely, 2^747331200 is an apocalyptic number.

747331200 is a gapful number since it is divisible by the number (70) 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 747331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667259360).

747331200 is an abundant number, since it is smaller than the sum of its proper divisors (2587187520).

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

747331200 is a wasteful number, since it uses less digits than its factorization.

747331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 747331200 is about 27337.3590531346. The cubic root of 747331200 is about 907.4813419655.

Adding to 747331200 its reverse (2133747), we get a palindrome (749464947).

The spelling of 747331200 in words is "seven hundred forty-seven million, three hundred thirty-one thousand, two hundred".