76083200 has 78 divisors (see below), whose sum is σ = 188917224. Its totient is φ = 30392320.

The previous prime is 76083197. The next prime is 76083209. The reversal of 76083200 is 238067.

It is a self number, because there is not a number n which added to its sum of digits gives 76083200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76083209) 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 5 ways as a sum of consecutive naturals, for example, 102029 + ... + 102771.

Almost surely, 2^76083200 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 76083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94458612).

76083200 is an abundant number, since it is smaller than the sum of its proper divisors (112834024).

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

76083200 is an equidigital number, since it uses as much as digits as its factorization.

76083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 76083200 is about 8722.5684290810. The cubic root of 76083200 is about 423.7368724596.

The spelling of 76083200 in words is "seventy-six million, eighty-three thousand, two hundred".