78086844 has 72 divisors (see below), whose sum is σ = 216386352. Its totient is φ = 23546880.

The previous prime is 78086807. The next prime is 78086851. The reversal of 78086844 is 44868087.

It is a self number, because there is not a number n which added to its sum of digits gives 78086844.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 115692 + ... + 116364.

It is an arithmetic number, because the mean of its divisors is an integer number (3005366).

Almost surely, 2^78086844 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 78086844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108193176).

78086844 is an abundant number, since it is smaller than the sum of its proper divisors (138299508).

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

78086844 is a wasteful number, since it uses less digits than its factorization.

78086844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 78086844 is about 8836.6760719175. The cubic root of 78086844 is about 427.4243797710.

The spelling of 78086844 in words is "seventy-eight million, eighty-six thousand, eight hundred forty-four".