78672384 has 200 divisors, whose sum is σ = 269351808. Its totient is φ = 22394880.

The previous prime is 78672383. The next prime is 78672401. The reversal of 78672384 is 48327687.

It is a happy number.

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 (78672383) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290169 + ... + 290439.

Almost surely, 2^78672384 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 78672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134675904).

78672384 is an abundant number, since it is smaller than the sum of its proper divisors (190679424).

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

78672384 is an equidigital number, since it uses as much as digits as its factorization.

78672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 78672384 is about 8869.7454303943. The cubic root of 78672384 is about 428.4900782736.

The spelling of 78672384 in words is "seventy-eight million, six hundred seventy-two thousand, three hundred eighty-four".