82454784 has 72 divisors (see below), whose sum is σ = 221831232. Its totient is φ = 27187200.

The previous prime is 82454767. The next prime is 82454797. The reversal of 82454784 is 48745428.

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, 77037 + ... + 78099.

Almost surely, 2^82454784 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 82454784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110915616).

82454784 is an abundant number, since it is smaller than the sum of its proper divisors (139376448).

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

82454784 is a wasteful number, since it uses less digits than its factorization.

82454784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1169 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 82454784 is about 9080.4616622725. The cubic root of 82454784 is about 435.2498393037.

It can be divided in two parts, 82454 and 784, that added together give a palindrome (83238).

The spelling of 82454784 in words is "eighty-two million, four hundred fifty-four thousand, seven hundred eighty-four".