8232763100 has 72 divisors (see below), whose sum is σ = 18328910208. Its totient is φ = 3207859200.

The previous prime is 8232763073. The next prime is 8232763139. The reversal of 8232763100 is 13672328.

It is a happy number.

It is a super-2 number, since 2×8232763100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3840629 + ... + 3842771.

Almost surely, 2^8232763100 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 8232763100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9164455104).

8232763100 is an abundant number, since it is smaller than the sum of its proper divisors (10096147108).

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

8232763100 is a wasteful number, since it uses less digits than its factorization.

8232763100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 8232763100 is about 90734.5749976270. The cubic root of 8232763100 is about 2019.2117876957.

The spelling of 8232763100 in words is "eight billion, two hundred thirty-two million, seven hundred sixty-three thousand, one hundred".