9792900 has 216 divisors, whose sum is σ = 35386624. Its totient is φ = 2332800.

The previous prime is 9792899. The next prime is 9792943. The reversal of 9792900 is 92979.

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

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, 315885 + ... + 315915.

Almost surely, 2^9792900 is an apocalyptic number.

9792900 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 9792900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693312).

9792900 is an abundant number, since it is smaller than the sum of its proper divisors (25593724).

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

9792900 is a wasteful number, since it uses less digits than its factorization.

9792900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 9792900 is about 3129.3609571285. The cubic root of 9792900 is about 213.9458039601.

The spelling of 9792900 in words is "nine million, seven hundred ninety-two thousand, nine hundred".