9090892800 has 792 divisors, whose sum is σ = 37775698272. Its totient is φ = 2064384000.

The previous prime is 9090892793. The next prime is 9090892819. The reversal of 9090892800 is 82980909.

It is a tau number, because it is divible by the number of its divisors (792).

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 71 ways as a sum of consecutive naturals, for example, 43084695 + ... + 43084905.

Almost surely, 2^9090892800 is an apocalyptic number.

9090892800 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 9090892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18887849136).

9090892800 is an abundant number, since it is smaller than the sum of its proper divisors (28684805472).

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

9090892800 is a wasteful number, since it uses less digits than its factorization.

9090892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9090892800 is about 95346.1734942730. The cubic root of 9090892800 is about 2087.0627757496.

The spelling of 9090892800 in words is "nine billion, ninety million, eight hundred ninety-two thousand, eight hundred".