78448760 has 64 divisors (see below), whose sum is σ = 193384800. Its totient is φ = 28463616.

The previous prime is 78448691. The next prime is 78448763. The reversal of 78448760 is 6784487.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78448763) 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 15 ways as a sum of consecutive naturals, for example, 29402 + ... + 31958.

Almost surely, 2^78448760 is an apocalyptic number.

78448760 is the 5114-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78448760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96692400).

78448760 is an abundant number, since it is smaller than the sum of its proper divisors (114936040).

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

78448760 is a wasteful number, since it uses less digits than its factorization.

78448760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The square root of 78448760 is about 8857.1304608208. The cubic root of 78448760 is about 428.0837027315.

The spelling of 78448760 in words is "seventy-eight million, four hundred forty-eight thousand, seven hundred sixty".