76848431296 has 112 divisors (see below), whose sum is σ = 187794863424. Its totient is φ = 30384193536.

The previous prime is 76848431291. The next prime is 76848431311. The reversal of 76848431296 is 69213484867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 76848431296.

It is not an unprimeable number, because it can be changed into a prime (76848431291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16031076 + ... + 16035868.

It is an arithmetic number, because the mean of its divisors is an integer number (1676739852).

Almost surely, 2^76848431296 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 76848431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93897431712).

76848431296 is an abundant number, since it is smaller than the sum of its proper divisors (110946432128).

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

76848431296 is a wasteful number, since it uses less digits than its factorization.

76848431296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7568 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 58.

The spelling of 76848431296 in words is "seventy-six billion, eight hundred forty-eight million, four hundred thirty-one thousand, two hundred ninety-six".