76827133080 has 192 divisors, whose sum is σ = 263104358400. Its totient is φ = 19388678400.

The previous prime is 76827133069. The next prime is 76827133081. The reversal of 76827133080 is 8033172867.

76827133080 is a `hidden beast` number, since 76 + 8 + 271 + 3 + 308 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76827133081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7183497 + ... + 7194183.

It is an arithmetic number, because the mean of its divisors is an integer number (1370335200).

Almost surely, 2^76827133080 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 76827133080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131552179200).

76827133080 is an abundant number, since it is smaller than the sum of its proper divisors (186277225320).

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

76827133080 is a wasteful number, since it uses less digits than its factorization.

76827133080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774 (or 11767 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 76827133080 in words is "seventy-six billion, eight hundred twenty-seven million, one hundred thirty-three thousand, eighty".