83231280 has 320 divisors, whose sum is σ = 325693440. Its totient is φ = 19353600.

The previous prime is 83231257. The next prime is 83231293. The reversal of 83231280 is 8213238.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736504 + ... + 736616.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 2^83231280 is an apocalyptic number.

83231280 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 83231280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

83231280 is an abundant number, since it is smaller than the sum of its proper divisors (242462160).

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

83231280 is a wasteful number, since it uses less digits than its factorization.

83231280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83231280 is about 9123.1178880907. The cubic root of 83231280 is about 436.6118559360.

The spelling of 83231280 in words is "eighty-three million, two hundred thirty-one thousand, two hundred eighty".