78627648 has 112 divisors (see below), whose sum is σ = 231160320. Its totient is φ = 23385600.

The previous prime is 78627631. The next prime is 78627677. The reversal of 78627648 is 84672687.

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

It is a junction number, because it is equal to n+sod(n) for n = 78627597 and 78627606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124293 + ... + 124923.

Almost surely, 2^78627648 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 78627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115580160).

78627648 is an abundant number, since it is smaller than the sum of its proper divisors (152532672).

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

78627648 is a wasteful number, since it uses less digits than its factorization.

78627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 78627648 is about 8867.2232406769. The cubic root of 78627648 is about 428.4088444882.

It can be divided in two parts, 78 and 627648, that added together give a palindrome (627726).

The spelling of 78627648 in words is "seventy-eight million, six hundred twenty-seven thousand, six hundred forty-eight".