753198336900 has 135 divisors (see below), whose sum is σ = 2441824670901. Its totient is φ = 200832060960.

The previous prime is 753198336881. The next prime is 753198336911. The reversal of 753198336900 is 9633891357.

The square root of 753198336900 is 867870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 271151401284 + 482046935616 = 520722^2 + 694296^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×753198336900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 78103479 + ... + 78113121.

Almost surely, 2^753198336900 is an apocalyptic number.

753198336900 is the 867870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 753198336900

753198336900 is an abundant number, since it is smaller than the sum of its proper divisors (1688626334001).

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

753198336900 is an frugal number, since it uses more digits than its factorization.

753198336900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19312 (or 9653 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 753198336900 in words is "seven hundred fifty-three billion, one hundred ninety-eight million, three hundred thirty-six thousand, nine hundred".