9762230400 has 768 divisors, whose sum is σ = 38247552000. Its totient is φ = 2165391360.

The previous prime is 9762230353. The next prime is 9762230417. The reversal of 9762230400 is 40322679.

It is a super-2 number, since 2×9762230400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54537511 + ... + 54537689.

It is an arithmetic number, because the mean of its divisors is an integer number (49801500).

Almost surely, 2^9762230400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9762230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776000).

9762230400 is an abundant number, since it is smaller than the sum of its proper divisors (28485321600).

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

9762230400 is a wasteful number, since it uses less digits than its factorization.

9762230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 9762230400 is about 98803.9999190316. Note that the first 4 decimals coincide. The cubic root of 9762230400 is about 2137.2222381112. Note that the first 4 decimals are identical.

The spelling of 9762230400 in words is "nine billion, seven hundred sixty-two million, two hundred thirty thousand, four hundred".