78048096 has 192 divisors, whose sum is σ = 249435648. Its totient is φ = 20901888.

The previous prime is 78048041. The next prime is 78048101. The reversal of 78048096 is 69084087.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1069116 + ... + 1069188.

It is an arithmetic number, because the mean of its divisors is an integer number (1299144).

Almost surely, 2^78048096 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 78048096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124717824).

78048096 is an abundant number, since it is smaller than the sum of its proper divisors (171387552).

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

78048096 is a wasteful number, since it uses less digits than its factorization.

78048096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 78048096 is about 8834.4833465234. The cubic root of 78048096 is about 427.3536696949.

The spelling of 78048096 in words is "seventy-eight million, forty-eight thousand, ninety-six".