76107552768 has 576 divisors, whose sum is σ = 253696716000. Its totient is φ = 21785739264.

The previous prime is 76107552767. The next prime is 76107552793. The reversal of 76107552768 is 86725570167.

It is a happy number.

76107552768 is a `hidden beast` number, since 7 + 6 + 10 + 7 + 552 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76107552767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332347278 + ... + 332347506.

Almost surely, 2^76107552768 is an apocalyptic number.

76107552768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76107552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126848358000).

76107552768 is an abundant number, since it is smaller than the sum of its proper divisors (177589163232).

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

76107552768 is a wasteful number, since it uses less digits than its factorization.

76107552768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 76107552768 in words is "seventy-six billion, one hundred seven million, five hundred fifty-two thousand, seven hundred sixty-eight".