77941128160 has 192 divisors, whose sum is σ = 222248033280. Its totient is φ = 25232670720.

The previous prime is 77941128143. The next prime is 77941128191. The reversal of 77941128160 is 6182114977.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77941128160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6612192 + ... + 6623968.

It is an arithmetic number, because the mean of its divisors is an integer number (1157541840).

Almost surely, 2^77941128160 is an apocalyptic number.

77941128160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77941128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111124016640).

77941128160 is an abundant number, since it is smaller than the sum of its proper divisors (144306905120).

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

77941128160 is a wasteful number, since it uses less digits than its factorization.

77941128160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12129 (or 12121 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The spelling of 77941128160 in words is "seventy-seven billion, nine hundred forty-one million, one hundred twenty-eight thousand, one hundred sixty".