53753800 has 48 divisors (see below), whose sum is σ = 125477460. Its totient is φ = 21415680.

The previous prime is 53753797. The next prime is 53753801. The reversal of 53753800 is 835735.

53753800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 42016324 + 11737476 = 6482^2 + 3426^2 .

It is not an unprimeable number, because it can be changed into a prime (53753801) 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 11 ways as a sum of consecutive naturals, for example, 79062 + ... + 79738.

Almost surely, 2^53753800 is an apocalyptic number.

53753800 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 53753800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62738730).

53753800 is an abundant number, since it is smaller than the sum of its proper divisors (71723660).

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

53753800 is a wasteful number, since it uses less digits than its factorization.

53753800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 53753800 is about 7331.6983025763. The cubic root of 53753800 is about 377.4010090864.

The spelling of 53753800 in words is "fifty-three million, seven hundred fifty-three thousand, eight hundred".