83782720 has 112 divisors (see below), whose sum is σ = 230721408. Its totient is φ = 28385280.

The previous prime is 83782709. The next prime is 83782733. The reversal of 83782720 is 2728738.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 83782720.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 252955 + ... + 253285.

Almost surely, 2^83782720 is an apocalyptic number.

83782720 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 83782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115360704).

83782720 is an abundant number, since it is smaller than the sum of its proper divisors (146938688).

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

83782720 is a wasteful number, since it uses less digits than its factorization.

83782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 83782720 is about 9153.2901188589. The cubic root of 83782720 is about 437.5739760622.

The spelling of 83782720 in words is "eighty-three million, seven hundred eighty-two thousand, seven hundred twenty".