77878660560 has 240 divisors, whose sum is σ = 267230021184. Its totient is φ = 18695671808.

The previous prime is 77878660513. The next prime is 77878660579. The reversal of 77878660560 is 6506687877.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 77878660494 and 77878660503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2140279 + ... + 2176361.

Almost surely, 2^77878660560 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 77878660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133615010592).

77878660560 is an abundant number, since it is smaller than the sum of its proper divisors (189351360624).

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

77878660560 is a wasteful number, since it uses less digits than its factorization.

77878660560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36162 (or 36133 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 60.

The spelling of 77878660560 in words is "seventy-seven billion, eight hundred seventy-eight million, six hundred sixty thousand, five hundred sixty".