82767384 has 96 divisors (see below), whose sum is σ = 258978720. Its totient is φ = 23390208.

The previous prime is 82767359. The next prime is 82767413. The reversal of 82767384 is 48376728.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48042 + ... + 49734.

It is an arithmetic number, because the mean of its divisors is an integer number (2697695).

Almost surely, 2^82767384 is an apocalyptic number.

82767384 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 82767384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129489360).

82767384 is an abundant number, since it is smaller than the sum of its proper divisors (176211336).

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

82767384 is a wasteful number, since it uses less digits than its factorization.

82767384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1802 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 82767384 is about 9097.6581602080. The cubic root of 82767384 is about 435.7991808677.

The spelling of 82767384 in words is "eighty-two million, seven hundred sixty-seven thousand, three hundred eighty-four".