77827448034 has 144 divisors (see below), whose sum is σ = 200443464000. Its totient is φ = 21755055168.

The previous prime is 77827448033. The next prime is 77827448057. The reversal of 77827448034 is 43084472877.

It is a super-2 number, since 2×77827448034² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77827448033) 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, 8800587 + ... + 8809425.

It is an arithmetic number, because the mean of its divisors is an integer number (1391968500).

Almost surely, 2^77827448034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77827448034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100221732000).

77827448034 is an abundant number, since it is smaller than the sum of its proper divisors (122616015966).

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

77827448034 is a wasteful number, since it uses less digits than its factorization.

77827448034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077 (or 9067 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 77827448034 in words is "seventy-seven billion, eight hundred twenty-seven million, four hundred forty-eight thousand, thirty-four".