77732082856848 has 320 divisors, whose sum is σ = 235456586956800. Its totient is φ = 21635036527104.

The previous prime is 77732082856847. The next prime is 77732082856853. The reversal of 77732082856848 is 84865828023777.

It is a self number, because there is not a number n which added to its sum of digits gives 77732082856848.

It is not an unprimeable number, because it can be changed into a prime (77732082856847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10065007515 + ... + 10065015237.

It is an arithmetic number, because the mean of its divisors is an integer number (735801834240).

Almost surely, 2^{77732082856848} 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 77732082856848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117728293478400).

77732082856848 is an abundant number, since it is smaller than the sum of its proper divisors (157724504099952).

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

77732082856848 is a wasteful number, since it uses less digits than its factorization.

77732082856848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9540 counting only the distinct ones).

The product of its (nonzero) digits is 2023096320, while the sum is 75.

The spelling of 77732082856848 in words is "seventy-seven trillion, seven hundred thirty-two billion, eighty-two million, eight hundred fifty-six thousand, eight hundred forty-eight".