78543360 has 240 divisors, whose sum is σ = 311515776. Its totient is φ = 17915904.

The previous prime is 78543323. The next prime is 78543389. The reversal of 78543360 is 6334587.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 161037 + ... + 161523.

Almost surely, 2^78543360 is an apocalyptic number.

78543360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155757888).

78543360 is an abundant number, since it is smaller than the sum of its proper divisors (232972416).

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

78543360 is a wasteful number, since it uses less digits than its factorization.

78543360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 78543360 is about 8862.4691818928. The cubic root of 78543360 is about 428.2557065171.

The spelling of 78543360 in words is "seventy-eight million, five hundred forty-three thousand, three hundred sixty".