76812754032 has 480 divisors, whose sum is σ = 281649830400. Its totient is φ = 19563669504.

The previous prime is 76812754027. The next prime is 76812754033. The reversal of 76812754032 is 23045721867.

76812754032 is a `hidden beast` number, since 7 + 6 + 81 + 27 + 540 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76812754033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18556219 + ... + 18560357.

It is an arithmetic number, because the mean of its divisors is an integer number (586770480).

Almost surely, 2^76812754032 is an apocalyptic number.

76812754032 is a gapful number since it is divisible by the number (72) 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 76812754032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140824915200).

76812754032 is an abundant number, since it is smaller than the sum of its proper divisors (204837076368).

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

76812754032 is a wasteful number, since it uses less digits than its factorization.

76812754032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 76812754032 in words is "seventy-six billion, eight hundred twelve million, seven hundred fifty-four thousand, thirty-two".