9078854400 has 1296 divisors, whose sum is σ = 42702266880. Its totient is φ = 1784217600.

The previous prime is 9078854399. The next prime is 9078854413. The reversal of 9078854400 is 44588709.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 102009556 + ... + 102009644.

It is an arithmetic number, because the mean of its divisors is an integer number (32949280).

Almost surely, 2^9078854400 is an apocalyptic number.

9078854400 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 9078854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351133440).

9078854400 is an abundant number, since it is smaller than the sum of its proper divisors (33623412480).

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

9078854400 is a wasteful number, since it uses less digits than its factorization.

9078854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 9078854400 is about 95283.0226220810. The cubic root of 9078854400 is about 2086.1411209467.

The spelling of 9078854400 in words is "nine billion, seventy-eight million, eight hundred fifty-four thousand, four hundred".