76688229600 has 288 divisors, whose sum is σ = 283809335040. Its totient is φ = 19974366720.

The previous prime is 76688229523. The next prime is 76688229601. The reversal of 76688229600 is 692288667.

76688229600 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 8 + 2 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76688229601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887517 + ... + 970083.

It is an arithmetic number, because the mean of its divisors is an integer number (985449080).

Almost surely, 2^76688229600 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 76688229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141904667520).

76688229600 is an abundant number, since it is smaller than the sum of its proper divisors (207121105440).

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

76688229600 is a wasteful number, since it uses less digits than its factorization.

76688229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82639 (or 82620 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 76688229600 in words is "seventy-six billion, six hundred eighty-eight million, two hundred twenty-nine thousand, six hundred".