76766361984 has 320 divisors, whose sum is σ = 260509011840. Its totient is φ = 22230319104.

The previous prime is 76766361949. The next prime is 76766362009. The reversal of 76766361984 is 48916366767.

76766361984 is a `hidden beast` number, since 7 + 6 + 7 + 6 + 6 + 3 + 619 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2274577 + ... + 2308079.

It is an arithmetic number, because the mean of its divisors is an integer number (814090662).

Almost surely, 2^76766361984 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 76766361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130254505920).

76766361984 is an abundant number, since it is smaller than the sum of its proper divisors (183742649856).

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

76766361984 is a wasteful number, since it uses less digits than its factorization.

76766361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33559 (or 33538 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 76766361984 in words is "seventy-six billion, seven hundred sixty-six million, three hundred sixty-one thousand, nine hundred eighty-four".