78545340 has 144 divisors (see below), whose sum is σ = 253169280. Its totient is φ = 19676160.

The previous prime is 78545333. The next prime is 78545347. The reversal of 78545340 is 4354587.

78545340 is a `hidden beast` number, since 78 + 54 + 534 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78545333) and next prime (78545347).

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 = 78545295 and 78545304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78545347) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 213837 + ... + 214203.

It is an arithmetic number, because the mean of its divisors is an integer number (1758120).

Almost surely, 2^78545340 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 78545340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126584640).

78545340 is an abundant number, since it is smaller than the sum of its proper divisors (174623940).

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

78545340 is a wasteful number, since it uses less digits than its factorization.

78545340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 78545340 is about 8862.5808882063. The cubic root of 78545340 is about 428.2593051204.

The spelling of 78545340 in words is "seventy-eight million, five hundred forty-five thousand, three hundred forty".