78446448 has 160 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 24675840.

The previous prime is 78446441. The next prime is 78446477. The reversal of 78446448 is 84464487.

It is a Cunningham number, because it is equal to 8857²-1.

Its product of digits (688128) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78446441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761565 + ... + 761667.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^78446448 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 78446448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

78446448 is an abundant number, since it is smaller than the sum of its proper divisors (159871632).

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

78446448 is a wasteful number, since it uses less digits than its factorization.

78446448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 78446448 is about 8856.9999435475. Note that the first 4 decimals coincide. The cubic root of 78446448 is about 428.0794972721.

The spelling of 78446448 in words is "seventy-eight million, four hundred forty-six thousand, four hundred forty-eight".