52876800 has 360 divisors, whose sum is σ = 207783576. Its totient is φ = 13271040.

The previous prime is 52876777. The next prime is 52876841. The reversal of 52876800 is 867825.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3110392 + ... + 3110408.

Almost surely, 2^52876800 is an apocalyptic number.

52876800 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 52876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103891788).

52876800 is an abundant number, since it is smaller than the sum of its proper divisors (154906776).

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

52876800 is an equidigital number, since it uses as much as digits as its factorization.

52876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 52876800 is about 7271.6435556207. The cubic root of 52876800 is about 375.3372965252.

The spelling of 52876800 in words is "fifty-two million, eight hundred seventy-six thousand, eight hundred".