9792979200 has 648 divisors, whose sum is σ = 37853780328. Its totient is φ = 2406481920.

The previous prime is 9792979193. The next prime is 9792979211. The reversal of 9792979200 is 29792979.

It can be written as a sum of positive squares in 12 ways, for example, as 905769216 + 8887209984 = 30096^2 + 94272^2 .

It is a super-2 number, since 2×9792979200² (a number of 21 digits) contains 22 as substring.

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, 71481532 + ... + 71481668.

Almost surely, 2^9792979200 is an apocalyptic number.

9792979200 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 9792979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926890164).

9792979200 is an abundant number, since it is smaller than the sum of its proper divisors (28060801128).

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

9792979200 is a wasteful number, since it uses less digits than its factorization.

9792979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 9792979200 is about 98959.4826178876. The cubic root of 9792979200 is about 2139.4638072020.

It can be divided in two parts, 9792 and 979200, that multiplied together give a square (9588326400 = 97920²).

The spelling of 9792979200 in words is "nine billion, seven hundred ninety-two million, nine hundred seventy-nine thousand, two hundred".