78859648 has 64 divisors (see below), whose sum is σ = 180760320. Its totient is φ = 33569280.

The previous prime is 78859643. The next prime is 78859657. The reversal of 78859648 is 84695887.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78859643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 253413 + ... + 253723.

It is an arithmetic number, because the mean of its divisors is an integer number (2824380).

Almost surely, 2^78859648 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 78859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90380160).

78859648 is an abundant number, since it is smaller than the sum of its proper divisors (101900672).

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

78859648 is a wasteful number, since it uses less digits than its factorization.

78859648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 55.

The square root of 78859648 is about 8880.2954905791. The cubic root of 78859648 is about 428.8297874161.

It can be divided in two parts, 78859 and 648, that added together give a cube (79507 = 43³).

The spelling of 78859648 in words is "seventy-eight million, eight hundred fifty-nine thousand, six hundred forty-eight".