8233212880 has 80 divisors (see below), whose sum is σ = 20285357904. Its totient is φ = 3096944640.

The previous prime is 8233212857. The next prime is 8233212887. The reversal of 8233212880 is 882123328.

It can be written as a sum of positive squares in 8 ways, for example, as 27751824 + 8205461056 = 5268^2 + 90584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8233212887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529334 + ... + 2532586.

Almost surely, 2^8233212880 is an apocalyptic number.

8233212880 is a gapful number since it is divisible by the number (80) 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 8233212880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142678952).

8233212880 is an abundant number, since it is smaller than the sum of its proper divisors (12052145024).

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

8233212880 is a wasteful number, since it uses less digits than its factorization.

8233212880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 8233212880 is about 90737.0535117821. The cubic root of 8233212880 is about 2019.2485588473.

The spelling of 8233212880 in words is "eight billion, two hundred thirty-three million, two hundred twelve thousand, eight hundred eighty".