52376800 has 144 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 17487360.

The previous prime is 52376783. The next prime is 52376801. The reversal of 52376800 is 867325.

52376800 = T₃₀₁ + T₃₀₂ + ... + T₆₉₈.

52376800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52376801) 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 23 ways as a sum of consecutive naturals, for example, 263101 + ... + 263299.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^52376800 is an apocalyptic number.

52376800 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 52376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

52376800 is an abundant number, since it is smaller than the sum of its proper divisors (97613600).

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

52376800 is a wasteful number, since it uses less digits than its factorization.

52376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 52376800 is about 7237.1817719330. The cubic root of 52376800 is about 374.1504918303.

The spelling of 52376800 in words is "fifty-two million, three hundred seventy-six thousand, eight hundred".