83280464280 has 448 divisors, whose sum is σ = 320376137760. Its totient is φ = 19292442624.

The previous prime is 83280464207. The next prime is 83280464299. The reversal of 83280464280 is 8246408238.

83280464280 is a `hidden beast` number, since 8 + 32 + 80 + 464 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6437899 + ... + 6450821.

Almost surely, 2^83280464280 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 83280464280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160188068880).

83280464280 is an abundant number, since it is smaller than the sum of its proper divisors (237095673480).

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

83280464280 is a wasteful number, since it uses less digits than its factorization.

83280464280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12982 (or 12963 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 83280464280 in words is "eighty-three billion, two hundred eighty million, four hundred sixty-four thousand, two hundred eighty".