78582040 has 64 divisors (see below), whose sum is σ = 182424960. Its totient is φ = 30451200.

The previous prime is 78582029. The next prime is 78582071. The reversal of 78582040 is 4028587.

It is a junction number, because it is equal to n+sod(n) for n = 78581987 and 78582005.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 213937 + ... + 214303.

It is an arithmetic number, because the mean of its divisors is an integer number (2850390).

Almost surely, 2^78582040 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 78582040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91212480).

78582040 is an abundant number, since it is smaller than the sum of its proper divisors (103842920).

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

78582040 is a wasteful number, since it uses less digits than its factorization.

78582040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 78582040 is about 8864.6511493685. The cubic root of 78582040 is about 428.3259955576.

The spelling of 78582040 in words is "seventy-eight million, five hundred eighty-two thousand, forty".