78258048 has 128 divisors (see below), whose sum is σ = 230307840. Its totient is φ = 23347200.

The previous prime is 78258041. The next prime is 78258049. The reversal of 78258048 is 84085287.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×78258048² = 12248644153540608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78258041) 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 15 ways as a sum of consecutive naturals, for example, 409633 + ... + 409823.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 2^78258048 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 78258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

78258048 is an abundant number, since it is smaller than the sum of its proper divisors (152049792).

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

78258048 is a wasteful number, since it uses less digits than its factorization.

78258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 78258048 is about 8846.3578946366. The cubic root of 78258048 is about 427.7365251774.

The spelling of 78258048 in words is "seventy-eight million, two hundred fifty-eight thousand, forty-eight".