86778912 has 96 divisors (see below), whose sum is σ = 255334464. Its totient is φ = 25574400.

The previous prime is 86778841. The next prime is 86778917. The reversal of 86778912 is 21987768.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86778917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37962 + ... + 40182.

It is an arithmetic number, because the mean of its divisors is an integer number (2659734).

Almost surely, 2^86778912 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 86778912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127667232).

86778912 is an abundant number, since it is smaller than the sum of its proper divisors (168555552).

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

86778912 is a wasteful number, since it uses less digits than its factorization.

86778912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2274 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 86778912 is about 9315.5199532823. The cubic root of 86778912 is about 442.7290983863.

The spelling of 86778912 in words is "eighty-six million, seven hundred seventy-eight thousand, nine hundred twelve".