78958048 has 48 divisors (see below), whose sum is σ = 170296560. Its totient is φ = 35813376.

The previous prime is 78958031. The next prime is 78958067. The reversal of 78958048 is 84085987.

It is a junction number, because it is equal to n+sod(n) for n = 78957992 and 78958010.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22936 + ... + 26152.

It is an arithmetic number, because the mean of its divisors is an integer number (3547845).

Almost surely, 2^78958048 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 78958048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85148280).

78958048 is an abundant number, since it is smaller than the sum of its proper divisors (91338512).

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

78958048 is a wasteful number, since it uses less digits than its factorization.

78958048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The square root of 78958048 is about 8885.8341195411. The cubic root of 78958048 is about 429.0080759470.

The spelling of 78958048 in words is "seventy-eight million, nine hundred fifty-eight thousand, forty-eight".