76345433600 has 240 divisors, whose sum is σ = 196914896640. Its totient is φ = 29309952000.

The previous prime is 76345433599. The next prime is 76345433609. The reversal of 76345433600 is 633454367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76345433609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32472425 + ... + 32474775.

It is an arithmetic number, because the mean of its divisors is an integer number (820478736).

Almost surely, 2^76345433600 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 76345433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98457448320).

76345433600 is an abundant number, since it is smaller than the sum of its proper divisors (120569463040).

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

76345433600 is a wasteful number, since it uses less digits than its factorization.

76345433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 41.

Adding to 76345433600 its reverse (633454367), we get a palindrome (76978887967).

The spelling of 76345433600 in words is "seventy-six billion, three hundred forty-five million, four hundred thirty-three thousand, six hundred".