76403200 has 120 divisors (see below), whose sum is σ = 194844672. Its totient is φ = 29675520.

The previous prime is 76403183. The next prime is 76403203. The reversal of 76403200 is 230467.

It is not an unprimeable number, because it can be changed into a prime (76403203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601537 + ... + 601663.

Almost surely, 2^76403200 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 76403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97422336).

76403200 is an abundant number, since it is smaller than the sum of its proper divisors (118441472).

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

76403200 is a wasteful number, since it uses less digits than its factorization.

76403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 76403200 is about 8740.8924029529. The cubic root of 76403200 is about 424.3301096016.

Adding to 76403200 its reverse (230467), we get a palindrome (76633667).

The spelling of 76403200 in words is "seventy-six million, four hundred three thousand, two hundred".