78458040 has 96 divisors (see below), whose sum is σ = 260470080. Its totient is φ = 20472576.

The previous prime is 78458033. The next prime is 78458057. The reversal of 78458040 is 4085487.

78458040 is a `hidden beast` number, since 78 + 4 + 580 + 4 + 0 = 666.

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 = 78457986 and 78458004.

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, 14602 + ... + 19238.

It is an arithmetic number, because the mean of its divisors is an integer number (2713230).

Almost surely, 2^78458040 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 78458040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130235040).

78458040 is an abundant number, since it is smaller than the sum of its proper divisors (182012040).

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

78458040 is a wasteful number, since it uses less digits than its factorization.

78458040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4694 counting only the distinct ones).

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

The square root of 78458040 is about 8857.6543170300. The cubic root of 78458040 is about 428.1005819451.

The spelling of 78458040 in words is "seventy-eight million, four hundred fifty-eight thousand, forty".