9078048000 has 1152 divisors, whose sum is σ = 40814592000. Its totient is φ = 1940889600.

The previous prime is 9078047929. The next prime is 9078048047. The reversal of 9078048000 is 8408709.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114911961 + ... + 114912039.

Almost surely, 2^9078048000 is an apocalyptic number.

9078048000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9078048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407296000).

9078048000 is an abundant number, since it is smaller than the sum of its proper divisors (31736544000).

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

9078048000 is a wasteful number, since it uses less digits than its factorization.

9078048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9078048000 is about 95278.7909243185. The cubic root of 9078048000 is about 2086.0793541959.

The spelling of 9078048000 in words is "nine billion, seventy-eight million, forty-eight thousand".