76891316880 has 960 divisors, whose sum is σ = 308734525440. Its totient is φ = 15476686848.

The previous prime is 76891316807. The next prime is 76891316899. The reversal of 76891316880 is 8861319867.

It is a super-2 number, since 2×76891316880² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76891316880.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 605443377 + ... + 605443503.

It is an arithmetic number, because the mean of its divisors is an integer number (321598464).

Almost surely, 2^76891316880 is an apocalyptic number.

76891316880 is a gapful number since it is divisible by the number (70) 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 76891316880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154367262720).

76891316880 is an abundant number, since it is smaller than the sum of its proper divisors (231843208560).

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

76891316880 is a wasteful number, since it uses less digits than its factorization.

76891316880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 76891316880 in words is "seventy-six billion, eight hundred ninety-one million, three hundred sixteen thousand, eight hundred eighty".