86778763264 has 96 divisors (see below), whose sum is σ = 182156083200. Its totient is φ = 41276252160.

The previous prime is 86778763259. The next prime is 86778763301. The reversal of 86778763264 is 46236787768.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 86778763196 and 86778763205.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3734209 + ... + 3757375.

It is an arithmetic number, because the mean of its divisors is an integer number (1897459200).

Almost surely, 2^86778763264 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 86778763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91078041600).

86778763264 is an abundant number, since it is smaller than the sum of its proper divisors (95377319936).

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

86778763264 is a wasteful number, since it uses less digits than its factorization.

86778763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23279 (or 23259 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 64.

The spelling of 86778763264 in words is "eighty-six billion, seven hundred seventy-eight million, seven hundred sixty-three thousand, two hundred sixty-four".