83382720 has 56 divisors (see below), whose sum is σ = 264743184. Its totient is φ = 22235136.

The previous prime is 83382709. The next prime is 83382757. The reversal of 83382720 is 2728338.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42469 + ... + 44388.

Almost surely, 2^83382720 is an apocalyptic number.

83382720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83382720 is an abundant number, since it is smaller than the sum of its proper divisors (181360464).

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

83382720 is a wasteful number, since it uses less digits than its factorization.

83382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86877 (or 86867 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 83382720 is about 9131.4139102332. The cubic root of 83382720 is about 436.8765017826.

The spelling of 83382720 in words is "eighty-three million, three hundred eighty-two thousand, seven hundred twenty".