76689500580 has 288 divisors, whose sum is σ = 290316918528. Its totient is φ = 15919488000.

The previous prime is 76689500579. The next prime is 76689500593. The reversal of 76689500580 is 8500598667.

76689500580 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 9 + 50 + 0 + 580 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18029734 + ... + 18033986.

It is an arithmetic number, because the mean of its divisors is an integer number (1008044856).

Almost surely, 2^76689500580 is an apocalyptic number.

76689500580 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 76689500580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145158459264).

76689500580 is an abundant number, since it is smaller than the sum of its proper divisors (213627417948).

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

76689500580 is a wasteful number, since it uses less digits than its factorization.

76689500580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 76689500580 in words is "seventy-six billion, six hundred eighty-nine million, five hundred thousand, five hundred eighty".