78336384 has 128 divisors (see below), whose sum is σ = 240622080. Its totient is φ = 22118400.

The previous prime is 78336371. The next prime is 78336389. The reversal of 78336384 is 48363387.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×78336384² = 12273178116390912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78336389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405792 + ... + 405984.

It is an arithmetic number, because the mean of its divisors is an integer number (1879860).

Almost surely, 2^78336384 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 78336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120311040).

78336384 is an abundant number, since it is smaller than the sum of its proper divisors (162285696).

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

78336384 is a wasteful number, since it uses less digits than its factorization.

78336384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 78336384 is about 8850.7843720204. The cubic root of 78336384 is about 427.8791984459.

The spelling of 78336384 in words is "seventy-eight million, three hundred thirty-six thousand, three hundred eighty-four".