86777768 has 64 divisors (see below), whose sum is σ = 204249600. Its totient is φ = 33577920.

The previous prime is 86777767. The next prime is 86777791.

86777768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (86777767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 109871 + ... + 110657.

It is an arithmetic number, because the mean of its divisors is an integer number (3191400).

Almost surely, 2^86777768 is an apocalyptic number.

86777768 is a gapful number since it is divisible by the number (88) 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 86777768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102124800).

86777768 is an abundant number, since it is smaller than the sum of its proper divisors (117471832).

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

86777768 is a wasteful number, since it uses less digits than its factorization.

86777768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 986 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 56.

The square root of 86777768 is about 9315.4585501735. The cubic root of 86777768 is about 442.7271528894.

It can be divided in two parts, 8 and 6777768, that added together give a palindrome (6777776).

The spelling of 86777768 in words is "eighty-six million, seven hundred seventy-seven thousand, seven hundred sixty-eight".