76907731680 has 288 divisors, whose sum is σ = 285236471520. Its totient is φ = 18756956160.

The previous prime is 76907731643. The next prime is 76907731687. The reversal of 76907731680 is 8613770967.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76907731687) 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 47 ways as a sum of consecutive naturals, for example, 2021635 + ... + 2059325.

It is an arithmetic number, because the mean of its divisors is an integer number (990404415).

Almost surely, 2^76907731680 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 76907731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142618235760).

76907731680 is an abundant number, since it is smaller than the sum of its proper divisors (208328739840).

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

76907731680 is a wasteful number, since it uses less digits than its factorization.

76907731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37834 (or 37823 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 76907731680 in words is "seventy-six billion, nine hundred seven million, seven hundred thirty-one thousand, six hundred eighty".