76336345200 has 240 divisors, whose sum is σ = 250991765856. Its totient is φ = 19824230400.

The previous prime is 76336345159. The next prime is 76336345339. The reversal of 76336345200 is 254363367.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8708820 + ... + 8717580.

Almost surely, 2^76336345200 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 76336345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125495882928).

76336345200 is an abundant number, since it is smaller than the sum of its proper divisors (174655420656).

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

76336345200 is a wasteful number, since it uses less digits than its factorization.

76336345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8972 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 39.

The spelling of 76336345200 in words is "seventy-six billion, three hundred thirty-six million, three hundred forty-five thousand, two hundred".