53830800 has 180 divisors, whose sum is σ = 196889680. Its totient is φ = 13582080.

The previous prime is 53830793. The next prime is 53830813. The reversal of 53830800 is 803835.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68007 + ... + 68793.

Almost surely, 2^53830800 is an apocalyptic number.

53830800 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 53830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98444840).

53830800 is an abundant number, since it is smaller than the sum of its proper divisors (143058880).

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

53830800 is a wasteful number, since it uses less digits than its factorization.

53830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53830800 is about 7336.9475941975. The cubic root of 53830800 is about 377.5811266661.

The spelling of 53830800 in words is "fifty-three million, eight hundred thirty thousand, eight hundred".