77889180096 has 840 divisors, whose sum is σ = 293327754720. Its totient is φ = 20253929472.

The previous prime is 77889180091. The next prime is 77889180097. The reversal of 77889180096 is 69008198877.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77889180091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 340127310 + ... + 340127538.

It is an arithmetic number, because the mean of its divisors is an integer number (349199708).

Almost surely, 2^77889180096 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 77889180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146663877360).

77889180096 is an abundant number, since it is smaller than the sum of its proper divisors (215438574624).

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

77889180096 is a wasteful number, since it uses less digits than its factorization.

77889180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 77889180096 in words is "seventy-seven billion, eight hundred eighty-nine million, one hundred eighty thousand, ninety-six".