83080480 has 72 divisors (see below), whose sum is σ = 228344508. Its totient is φ = 28482048.

The previous prime is 83080477. The next prime is 83080489. The reversal of 83080480 is 8408038.

It can be written as a sum of positive squares in 2 ways, for example, as 71978256 + 11102224 = 8484^2 + 3332^2 .

It is not an unprimeable number, because it can be changed into a prime (83080489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2542 + ... + 13138.

Almost surely, 2^83080480 is an apocalyptic number.

83080480 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 83080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114172254).

83080480 is an abundant number, since it is smaller than the sum of its proper divisors (145264028).

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

83080480 is a wasteful number, since it uses less digits than its factorization.

83080480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10626 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 83080480 is about 9114.8494227826. The cubic root of 83080480 is about 436.3480093309.

The spelling of 83080480 in words is "eighty-three million, eighty thousand, four hundred eighty".