86787078768 has 120 divisors (see below), whose sum is σ = 261818680032. Its totient is φ = 26677983744.

The previous prime is 86787078757. The next prime is 86787078769.

86787078768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86787078696 and 86787078705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86787078769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968130 + ... + 2011742.

Almost surely, 2^86787078768 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 86787078768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130909340016).

86787078768 is an abundant number, since it is smaller than the sum of its proper divisors (175031601264).

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

86787078768 is a wasteful number, since it uses less digits than its factorization.

86787078768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44703 (or 44694 counting only the distinct ones).

The product of its (nonzero) digits is 354041856, while the sum is 72.

The spelling of 86787078768 in words is "eighty-six billion, seven hundred eighty-seven million, seventy-eight thousand, seven hundred sixty-eight".