78363648 has 132 divisors (see below), whose sum is σ = 247162968. Its totient is φ = 23715840.

The previous prime is 78363647. The next prime is 78363653. The reversal of 78363648 is 84636387.

78363648 is a `hidden beast` number, since 7 + 8 + 3 + 636 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×78363648² = 12281722655735808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78363641) 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 11 ways as a sum of consecutive naturals, for example, 100990 + ... + 101762.

Almost surely, 2^78363648 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 78363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123581484).

78363648 is an abundant number, since it is smaller than the sum of its proper divisors (168799320).

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

78363648 is a wasteful number, since it uses less digits than its factorization.

78363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 789 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 78363648 is about 8852.3244405071. The cubic root of 78363648 is about 427.9288320251.

The spelling of 78363648 in words is "seventy-eight million, three hundred sixty-three thousand, six hundred forty-eight".