76200 has 48 divisors (see below), whose sum is σ = 238080. Its totient is φ = 20160.

The previous prime is 76163. The next prime is 76207. The reversal of 76200 is 267.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 76200.

It is not an unprimeable number, because it can be changed into a prime (76207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (4960).

2⁷⁶²⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

76200 is an abundant number, since it is smaller than the sum of its proper divisors (161880).

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

76200 is a wasteful number, since it uses less digits than its factorization.

76200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 76200 is about 276.0434748368. The cubic root of 76200 is about 42.3953596441.

Adding to 76200 its reverse (267), we get a palindrome (76467).

It can be divided in two parts, 76 and 200, that added together give a triangular number (276 = T₂₃).

The spelling of 76200 in words is "seventy-six thousand, two hundred".