78408384 has 56 divisors (see below), whose sum is σ = 208410048. Its totient is φ = 26016000.

The previous prime is 78408367. The next prime is 78408391. The reversal of 78408384 is 48380487.

It is a super-2 number, since 2×78408384² = 12295749362982912, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 47379 + ... + 49005.

It is an arithmetic number, because the mean of its divisors is an integer number (3721608).

Almost surely, 2^78408384 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 78408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104205024).

78408384 is an abundant number, since it is smaller than the sum of its proper divisors (130001664).

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

78408384 is a wasteful number, since it uses less digits than its factorization.

78408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 78408384 is about 8854.8508739560. The cubic root of 78408384 is about 428.0102481024.

The spelling of 78408384 in words is "seventy-eight million, four hundred eight thousand, three hundred eighty-four".