83038720 has 80 divisors (see below), whose sum is σ = 201326400. Its totient is φ = 32845824.

The previous prime is 83038639. The next prime is 83038777. The reversal of 83038720 is 2783038.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417181 + ... + 417379.

It is an arithmetic number, because the mean of its divisors is an integer number (2516580).

Almost surely, 2^83038720 is an apocalyptic number.

83038720 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 83038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100663200).

83038720 is an abundant number, since it is smaller than the sum of its proper divisors (118287680).

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

83038720 is a wasteful number, since it uses less digits than its factorization.

83038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 83038720 is about 9112.5583674400. The cubic root of 83038720 is about 436.2748876752.

The spelling of 83038720 in words is "eighty-three million, thirty-eight thousand, seven hundred twenty".