78582240 has 288 divisors, whose sum is σ = 302152032. Its totient is φ = 18585600.

The previous prime is 78582221. The next prime is 78582247. The reversal of 78582240 is 4228587.

It is a happy number.

78582240 is a `hidden beast` number, since 78 + 582 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 78582195 and 78582204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78582247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916620 + ... + 1916660.

It is an arithmetic number, because the mean of its divisors is an integer number (1049139).

Almost surely, 2^78582240 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 78582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151076016).

78582240 is an abundant number, since it is smaller than the sum of its proper divisors (223569792).

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

78582240 is a wasteful number, since it uses less digits than its factorization.

78582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 78582240 is about 8864.6624301211. The cubic root of 78582240 is about 428.3263589364.

The spelling of 78582240 in words is "seventy-eight million, five hundred eighty-two thousand, two hundred forty".