76804771680 has 1728 divisors, whose sum is σ = 352860738048. Its totient is φ = 15049359360.

The previous prime is 76804771663. The next prime is 76804771691. The reversal of 76804771680 is 8617740867.

76804771680 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 477 + 168 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1052120124 + ... + 1052120196.

It is an arithmetic number, because the mean of its divisors is an integer number (204201816).

Almost surely, 2^76804771680 is an apocalyptic number.

76804771680 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 76804771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176430369024).

76804771680 is an abundant number, since it is smaller than the sum of its proper divisors (276055966368).

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

76804771680 is a wasteful number, since it uses less digits than its factorization.

76804771680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 76804771680 in words is "seventy-six billion, eight hundred four million, seven hundred seventy-one thousand, six hundred eighty".