76684816980 has 144 divisors (see below), whose sum is σ = 233749820304. Its totient is φ = 20349388800.

The previous prime is 76684816937. The next prime is 76684817029. The reversal of 76684816980 is 8961848667.

76684816980 is a `hidden beast` number, since 7 + 6 + 68 + 481 + 6 + 98 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12641404356 + 64043412624 = 112434^2 + 253068^2 .

It is a super-3 number, since 3×76684816980³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58942330 + ... + 58943630.

It is an arithmetic number, because the mean of its divisors is an integer number (1623262641).

Almost surely, 2^76684816980 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 76684816980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116874910152).

76684816980 is an abundant number, since it is smaller than the sum of its proper divisors (157065003324).

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

76684816980 is a wasteful number, since it uses less digits than its factorization.

76684816980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 76684816980 in words is "seventy-six billion, six hundred eighty-four million, eight hundred sixteen thousand, nine hundred eighty".