86000800 has 72 divisors (see below), whose sum is σ = 211416156. Its totient is φ = 34160640.

The previous prime is 86000779. The next prime is 86000801. The reversal of 86000800 is 800068.

It can be written as a sum of positive squares in 6 ways, for example, as 5934096 + 80066704 = 2436^2 + 8948^2 .

It is a super-2 number, since 2×86000800² = 14792275201280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86000801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154122 + ... + 154678.

Almost surely, 2^86000800 is an apocalyptic number.

86000800 is a gapful number since it is divisible by the number (80) 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 86000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105708078).

86000800 is an abundant number, since it is smaller than the sum of its proper divisors (125415356).

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

86000800 is a wasteful number, since it uses less digits than its factorization.

86000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 86000800 is about 9273.6616285047. The cubic root of 86000800 is about 441.4018649237.

Adding to 86000800 its reverse (800068), we get a palindrome (86800868).

The spelling of 86000800 in words is "eighty-six million, eight hundred", and thus it is an aban number.