82838784 has 144 divisors (see below), whose sum is σ = 265556480. Its totient is φ = 22394880.

The previous prime is 82838779. The next prime is 82838809. The reversal of 82838784 is 48783828.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101739 + ... + 102549.

Almost surely, 2^82838784 is an apocalyptic number.

82838784 is a gapful number since it is divisible by the number (84) 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 82838784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132778240).

82838784 is an abundant number, since it is smaller than the sum of its proper divisors (182717696).

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

82838784 is a wasteful number, since it uses less digits than its factorization.

82838784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 82838784 is about 9101.5814010533. The cubic root of 82838784 is about 435.9244601616.

The spelling of 82838784 in words is "eighty-two million, eight hundred thirty-eight thousand, seven hundred eighty-four".