78663648 has 192 divisors, whose sum is σ = 254983680. Its totient is φ = 20736000.

The previous prime is 78663617. The next prime is 78663659. The reversal of 78663648 is 84636687.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 78663597 and 78663606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778798 + ... + 778898.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^78663648 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 78663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

78663648 is an abundant number, since it is smaller than the sum of its proper divisors (176320032).

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

78663648 is a wasteful number, since it uses less digits than its factorization.

78663648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 78663648 is about 8869.2529561401. The cubic root of 78663648 is about 428.4742174437.

The spelling of 78663648 in words is "seventy-eight million, six hundred sixty-three thousand, six hundred forty-eight".