52120800 has 288 divisors, whose sum is σ = 199987200. Its totient is φ = 13063680.

The previous prime is 52120771. The next prime is 52120807. The reversal of 52120800 is 802125.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52120807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410337 + ... + 410463.

It is an arithmetic number, because the mean of its divisors is an integer number (694400).

Almost surely, 2^52120800 is an apocalyptic number.

52120800 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 52120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

52120800 is an abundant number, since it is smaller than the sum of its proper divisors (147866400).

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

52120800 is a wasteful number, since it uses less digits than its factorization.

52120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 52120800 is about 7219.4736650257. The cubic root of 52120800 is about 373.5399225080.

Adding to 52120800 its reverse (802125), we get a palindrome (52922925).

It can be divided in two parts, 521 and 20800, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 52120800 in words is "fifty-two million, one hundred twenty thousand, eight hundred".