76200012 has 72 divisors (see below), whose sum is σ = 229721856. Its totient is φ = 20823264.

The previous prime is 76200011. The next prime is 76200029. The reversal of 76200012 is 21000267.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (76200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778 + ... + 12369.

Almost surely, 2^76200012 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 76200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114860928).

76200012 is an abundant number, since it is smaller than the sum of its proper divisors (153521844).

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

76200012 is a wasteful number, since it uses less digits than its factorization.

76200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13187 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 76200012 is about 8729.2618244614. The cubic root of 76200012 is about 423.9536186954.

Adding to 76200012 its reverse (21000267), we get a palindrome (97200279).

The spelling of 76200012 in words is "seventy-six million, two hundred thousand, twelve".