83456784 has 80 divisors (see below), whose sum is σ = 243555840. Its totient is φ = 27354240.

The previous prime is 83456773. The next prime is 83456801. The reversal of 83456784 is 48765438.

83456784 is a `hidden beast` number, since 8 + 3 + 4 + 567 + 84 = 666.

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, 24769 + ... + 27935.

It is an arithmetic number, because the mean of its divisors is an integer number (3044448).

Almost surely, 2^83456784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83456784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121777920).

83456784 is an abundant number, since it is smaller than the sum of its proper divisors (160099056).

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

83456784 is a wasteful number, since it uses less digits than its factorization.

83456784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3233 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 83456784 is about 9135.4684608946. The cubic root of 83456784 is about 437.0058141298.

It can be divided in two parts, 8345 and 6784, that added together give a square (15129 = 123²).

The spelling of 83456784 in words is "eighty-three million, four hundred fifty-six thousand, seven hundred eighty-four".