78448000 has 64 divisors (see below), whose sum is σ = 195081120. Its totient is φ = 31372800.

The previous prime is 78447991. The next prime is 78448001. The reversal of 78448000 is 84487.

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 (78448001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13549 + ... + 18451.

Almost surely, 2^78448000 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 78448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97540560).

78448000 is an abundant number, since it is smaller than the sum of its proper divisors (116633120).

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

78448000 is an equidigital number, since it uses as much as digits as its factorization.

78448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 78448000 is about 8857.0875574311. The cubic root of 78448000 is about 428.0823203232.

It can be divided in two parts, 784 and 48000, that added together give a palindrome (48784).

The spelling of 78448000 in words is "seventy-eight million, four hundred forty-eight thousand".