82933280 has 48 divisors (see below), whose sum is σ = 201239640. Its totient is φ = 32274432.

The previous prime is 82933261. The next prime is 82933289. The reversal of 82933280 is 8233928.

It can be written as a sum of positive squares in 4 ways, for example, as 82373776 + 559504 = 9076^2 + 748^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82933280.

It is not an unprimeable number, because it can be changed into a prime (82933289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085 + ... + 12924.

Almost surely, 2^82933280 is an apocalyptic number.

82933280 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 82933280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100619820).

82933280 is an abundant number, since it is smaller than the sum of its proper divisors (118306360).

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

82933280 is a wasteful number, since it uses less digits than its factorization.

82933280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14061 (or 14053 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 82933280 is about 9106.7711072586. The cubic root of 82933280 is about 436.0901533407.

The spelling of 82933280 in words is "eighty-two million, nine hundred thirty-three thousand, two hundred eighty".