9082342800 has 360 divisors, whose sum is σ = 32909560320. Its totient is φ = 2316902400.

The previous prime is 9082342781. The next prime is 9082342813. The reversal of 9082342800 is 82432809.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10824781 + ... + 10825619.

Almost surely, 2^9082342800 is an apocalyptic number.

9082342800 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 9082342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16454780160).

9082342800 is an abundant number, since it is smaller than the sum of its proper divisors (23827217520).

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

9082342800 is a wasteful number, since it uses less digits than its factorization.

9082342800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9082342800 is about 95301.3263286509. The cubic root of 9082342800 is about 2086.4082751677.

The spelling of 9082342800 in words is "nine billion, eighty-two million, three hundred forty-two thousand, eight hundred".