78848640 has 336 divisors, whose sum is σ = 306029070. Its totient is φ = 19408896.

The previous prime is 78848597. The next prime is 78848641. The reversal of 78848640 is 4684887.

It can be written as a sum of positive squares in 3 ways, for example, as 34012224 + 44836416 = 5832^2 + 6696^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (78848641) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 6065274 + ... + 6065286.

Almost surely, 2^78848640 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 78848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153014535).

78848640 is an abundant number, since it is smaller than the sum of its proper divisors (227180430).

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

78848640 is an equidigital number, since it uses as much as digits as its factorization.

78848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 78848640 is about 8879.6756697528. The cubic root of 78848640 is about 428.8098330707.

The spelling of 78848640 in words is "seventy-eight million, eight hundred forty-eight thousand, six hundred forty".