86078800 has 30 divisors (see below), whose sum is σ = 206805278. Its totient is φ = 34431360.

The previous prime is 86078777. The next prime is 86078801. The reversal of 86078800 is 887068.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 85451536 = 792^2 + 9244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86078800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86078801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107199 + ... + 107998.

Almost surely, 2^86078800 is an apocalyptic number.

86078800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86078800 is an abundant number, since it is smaller than the sum of its proper divisors (120726478).

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

86078800 is a wasteful number, since it uses less digits than its factorization.

86078800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215215 (or 215204 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 86078800 is about 9277.8661339771. The cubic root of 86078800 is about 441.5352704344.

The spelling of 86078800 in words is "eighty-six million, seventy-eight thousand, eight hundred".