76756086056 has 96 divisors (see below), whose sum is σ = 161408459520. Its totient is φ = 34167744000.

The previous prime is 76756086053. The next prime is 76756086083. The reversal of 76756086056 is 65068065767.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76756085992 and 76756086010.

It is not an unprimeable number, because it can be changed into a prime (76756086053) 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, 13115531 + ... + 13121381.

It is an arithmetic number, because the mean of its divisors is an integer number (1681338120).

Almost surely, 2^76756086056 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 76756086056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80704229760).

76756086056 is an abundant number, since it is smaller than the sum of its proper divisors (84652373464).

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

76756086056 is a wasteful number, since it uses less digits than its factorization.

76756086056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 56.

The spelling of 76756086056 in words is "seventy-six billion, seven hundred fifty-six million, eighty-six thousand, fifty-six".