86778384 has 160 divisors (see below), whose sum is σ = 285410304. Its totient is φ = 22064640.

The previous prime is 86778371. The next prime is 86778389. The reversal of 86778384 is 48387768.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86778389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195667 + ... + 196109.

Almost surely, 2^86778384 is an apocalyptic number.

86778384 is a gapful number since it is divisible by the number (84) 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 86778384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142705152).

86778384 is an abundant number, since it is smaller than the sum of its proper divisors (198631920).

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

86778384 is a wasteful number, since it uses less digits than its factorization.

86778384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 86778384 is about 9315.4916134362. The cubic root of 86778384 is about 442.7282004668.

The spelling of 86778384 in words is "eighty-six million, seven hundred seventy-eight thousand, three hundred eighty-four".