200753740 has 48 divisors (see below), whose sum is σ = 465121440. Its totient is φ = 72174080.

The previous prime is 200753719. The next prime is 200753741. The reversal of 200753740 is 47357002.

200753740 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

200753740 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 200753699 and 200753708.

It is not an unprimeable number, because it can be changed into a prime (200753741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14454 + ... + 24706.

It is an arithmetic number, because the mean of its divisors is an integer number (9690030).

Almost surely, 2^200753740 is an apocalyptic number.

200753740 is a gapful number since it is divisible by the number (20) 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 200753740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232560720).

200753740 is an abundant number, since it is smaller than the sum of its proper divisors (264367700).

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

200753740 is a wasteful number, since it uses less digits than its factorization.

200753740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 200753740 is about 14168.7592964239. The cubic root of 200753740 is about 585.5372763886.

The spelling of 200753740 in words is "two hundred million, seven hundred fifty-three thousand, seven hundred forty".