78616384 has 168 divisors, whose sum is σ = 206398368. Its totient is φ = 29352960.

The previous prime is 78616327. The next prime is 78616399. The reversal of 78616384 is 48361687.

It is a super-3 number, since 3×78616384³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 78616384.

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, 1483302 + ... + 1483354.

Almost surely, 2^78616384 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 78616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103199184).

78616384 is an abundant number, since it is smaller than the sum of its proper divisors (127781984).

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

78616384 is a wasteful number, since it uses less digits than its factorization.

78616384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 78616384 is about 8866.5880698271. The cubic root of 78616384 is about 428.3883859184.

The spelling of 78616384 in words is "seventy-eight million, six hundred sixteen thousand, three hundred eighty-four".