77242250316100 has 216 divisors, whose sum is σ = 182321055471240. Its totient is φ = 28305892823040.

The previous prime is 77242250316089. The next prime is 77242250316107. The reversal of 77242250316100 is 161305224277.

It can be written as a sum of positive squares in 12 ways, for example, as 7865478266116 + 69376772049984 = 2804546^2 + 8329272^2 .

It is not an unprimeable number, because it can be changed into a prime (77242250316107) 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 71 ways as a sum of consecutive naturals, for example, 920944966 + ... + 921028834.

It is an arithmetic number, because the mean of its divisors is an integer number (844078960515).

Almost surely, 2^{77242250316100} 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 77242250316100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91160527735620).

77242250316100 is an abundant number, since it is smaller than the sum of its proper divisors (105078805155140).

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

77242250316100 is a wasteful number, since it uses less digits than its factorization.

77242250316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84279 (or 84229 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 77242250316100 in words is "seventy-seven trillion, two hundred forty-two billion, two hundred fifty million, three hundred sixteen thousand, one hundred".