78534144 has 320 divisors, whose sum is σ = 274982400. Its totient is φ = 21897216.

The previous prime is 78534139. The next prime is 78534149. The reversal of 78534144 is 44143587.

It is an interprime number because it is at equal distance from previous prime (78534139) and next prime (78534149).

It is a super-3 number, since 3×78534144³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (53760) is a multiple of the sum of its prime divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 78534099 and 78534108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78534149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3414517 + ... + 3414539.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^78534144 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 78534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

78534144 is an abundant number, since it is smaller than the sum of its proper divisors (196448256).

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

78534144 is a wasteful number, since it uses less digits than its factorization.

78534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 78534144 is about 8861.9492212492. The cubic root of 78534144 is about 428.2389558587.

The spelling of 78534144 in words is "seventy-eight million, five hundred thirty-four thousand, one hundred forty-four".