78036384 has 72 divisors (see below), whose sum is σ = 209690208. Its totient is φ = 25406080.

The previous prime is 78036383. The next prime is 78036389. The reversal of 78036384 is 48363087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78036383) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 729259 + ... + 729365.

It is an arithmetic number, because the mean of its divisors is an integer number (2912364).

Almost surely, 2^78036384 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 78036384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104845104).

78036384 is an abundant number, since it is smaller than the sum of its proper divisors (131653824).

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

78036384 is a wasteful number, since it uses less digits than its factorization.

78036384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 78036384 is about 8833.8204645555. The cubic root of 78036384 is about 427.3322922075.

The spelling of 78036384 in words is "seventy-eight million, thirty-six thousand, three hundred eighty-four".