76891078656 has 720 divisors, whose sum is σ = 274802411520. Its totient is φ = 21021327360.

The previous prime is 76891078651. The next prime is 76891078661. The reversal of 76891078656 is 65687019867.

It is an interprime number because it is at equal distance from previous prime (76891078651) and next prime (76891078661).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 76891078593 and 76891078602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76891078651) by changing a digit.

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, 863944660 + ... + 863944748.

It is an arithmetic number, because the mean of its divisors is an integer number (381670016).

Almost surely, 2^76891078656 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 76891078656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137401205760).

76891078656 is an abundant number, since it is smaller than the sum of its proper divisors (197911332864).

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

76891078656 is an frugal number, since it uses more digits than its factorization.

76891078656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 76891078656 in words is "seventy-six billion, eight hundred ninety-one million, seventy-eight thousand, six hundred fifty-six".