78645288 has 64 divisors (see below), whose sum is σ = 202901760. Its totient is φ = 25389056.

The previous prime is 78645283. The next prime is 78645293. The reversal of 78645288 is 88254687.

It is an interprime number because it is at equal distance from previous prime (78645283) and next prime (78645293).

It is not an unprimeable number, because it can be changed into a prime (78645283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127156 + ... + 127772.

It is an arithmetic number, because the mean of its divisors is an integer number (3170340).

Almost surely, 2^78645288 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 78645288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101450880).

78645288 is an abundant number, since it is smaller than the sum of its proper divisors (124256472).

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

78645288 is a wasteful number, since it uses less digits than its factorization.

78645288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 78645288 is about 8868.2178592996. The cubic root of 78645288 is about 428.4408797291.

The spelling of 78645288 in words is "seventy-eight million, six hundred forty-five thousand, two hundred eighty-eight".