78085440 has 168 divisors, whose sum is σ = 282915360. Its totient is φ = 19713024.

The previous prime is 78085439. The next prime is 78085451. The reversal of 78085440 is 4458087.

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 = 78085395 and 78085404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54007 + ... + 55433.

It is an arithmetic number, because the mean of its divisors is an integer number (1684020).

Almost surely, 2^78085440 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 78085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141457680).

78085440 is an abundant number, since it is smaller than the sum of its proper divisors (204829920).

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

78085440 is a wasteful number, since it uses less digits than its factorization.

78085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1456 counting only the distinct ones).

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

The square root of 78085440 is about 8836.5966299249. The cubic root of 78085440 is about 427.4218180615.

The spelling of 78085440 in words is "seventy-eight million, eighty-five thousand, four hundred forty".