76889184768 has 480 divisors, whose sum is σ = 256226308800. Its totient is φ = 22736609280.

The previous prime is 76889184763. The next prime is 76889184769. The reversal of 76889184768 is 86748198867.

76889184768 is a `hidden beast` number, since 7 + 68 + 8 + 91 + 8 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 76889184696 and 76889184705.

It is not an unprimeable number, because it can be changed into a prime (76889184761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71925738 + ... + 71926806.

It is an arithmetic number, because the mean of its divisors is an integer number (533804810).

Almost surely, 2^76889184768 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 76889184768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128113154400).

76889184768 is an abundant number, since it is smaller than the sum of its proper divisors (179337124032).

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

76889184768 is a wasteful number, since it uses less digits than its factorization.

76889184768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1128 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 76889184768 in words is "seventy-six billion, eight hundred eighty-nine million, one hundred eighty-four thousand, seven hundred sixty-eight".