76160863680 has 448 divisors, whose sum is σ = 268824821760. Its totient is φ = 18114969600.

The previous prime is 76160863673. The next prime is 76160863687. The reversal of 76160863680 is 8636806167.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76160863673) and next prime (76160863687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76160863687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146181820 + ... + 146182340.

Almost surely, 2^76160863680 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 76160863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134412410880).

76160863680 is an abundant number, since it is smaller than the sum of its proper divisors (192663958080).

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

76160863680 is a wasteful number, since it uses less digits than its factorization.

76160863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 76160863680 in words is "seventy-six billion, one hundred sixty million, eight hundred sixty-three thousand, six hundred eighty".