753121200 has 240 divisors, whose sum is σ = 2712326400. Its totient is φ = 177239040.

The previous prime is 753121181. The next prime is 753121247. The reversal of 753121200 is 2121357.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357751 + ... + 359849.

It is an arithmetic number, because the mean of its divisors is an integer number (11301360).

Almost surely, 2^753121200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 753121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356163200).

753121200 is an abundant number, since it is smaller than the sum of its proper divisors (1959205200).

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

753121200 is a wasteful number, since it uses less digits than its factorization.

753121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 753121200 is about 27443.0537659350. The cubic root of 753121200 is about 909.8189069261.

Adding to 753121200 its reverse (2121357), we get a palindrome (755242557).

It can be divided in two parts, 75 and 3121200, that multiplied together give a square (234090000 = 15300²).

The spelling of 753121200 in words is "seven hundred fifty-three million, one hundred twenty-one thousand, two hundred".