77878688160 has 1152 divisors, whose sum is σ = 325128867840. Its totient is φ = 15308587008.

The previous prime is 77878688131. The next prime is 77878688177. The reversal of 77878688160 is 6188687877.

It is a junction number, because it is equal to n+sod(n) for n = 77878688091 and 77878688100.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 875041396 + ... + 875041484.

It is an arithmetic number, because the mean of its divisors is an integer number (282229920).

Almost surely, 2^77878688160 is an apocalyptic number.

77878688160 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 77878688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162564433920).

77878688160 is an abundant number, since it is smaller than the sum of its proper divisors (247250179680).

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

77878688160 is a wasteful number, since it uses less digits than its factorization.

77878688160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 66.

The spelling of 77878688160 in words is "seventy-seven billion, eight hundred seventy-eight million, six hundred eighty-eight thousand, one hundred sixty".