78000048 has 120 divisors (see below), whose sum is σ = 251317248. Its totient is φ = 22121856.

The previous prime is 78000037. The next prime is 78000049. The reversal of 78000048 is 84000087.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77999985 and 78000030.

It is not an unprimeable number, because it can be changed into a prime (78000049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224611 + ... + 224957.

Almost surely, 2^78000048 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 78000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125658624).

78000048 is an abundant number, since it is smaller than the sum of its proper divisors (173317200).

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

78000048 is a wasteful number, since it uses less digits than its factorization.

78000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 78000048 is about 8831.7635837923. The cubic root of 78000048 is about 427.2659558141.

The spelling of 78000048 in words is "seventy-eight million, forty-eight", and thus it is an aban number and an uban number.