78181248 has 64 divisors (see below), whose sum is σ = 210589200. Its totient is φ = 25694208.

The previous prime is 78181247. The next prime is 78181253. The reversal of 78181248 is 84218187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×78181248² = 12224615077675008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78181247) 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 7 ways as a sum of consecutive naturals, for example, 26638 + ... + 29426.

Almost surely, 2^78181248 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 78181248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105294600).

78181248 is an abundant number, since it is smaller than the sum of its proper divisors (132407952).

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

78181248 is a wasteful number, since it uses less digits than its factorization.

78181248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2867 counting only the distinct ones).

The product of its digits is 28672, while the sum is 39.

The square root of 78181248 is about 8842.0160597004. The cubic root of 78181248 is about 427.5965569660.

The spelling of 78181248 in words is "seventy-eight million, one hundred eighty-one thousand, two hundred forty-eight".