8023782 has 48 divisors (see below), whose sum is σ = 17893008. Its totient is φ = 2396160.

The previous prime is 8023777. The next prime is 8023787. The reversal of 8023782 is 2873208.

It is an interprime number because it is at equal distance from previous prime (8023777) and next prime (8023787).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8023787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41478 + ... + 41670.

It is an arithmetic number, because the mean of its divisors is an integer number (372771).

Almost surely, 2^8023782 is an apocalyptic number.

8023782 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8023782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946504).

8023782 is an abundant number, since it is smaller than the sum of its proper divisors (9869226).

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

8023782 is a wasteful number, since it uses less digits than its factorization.

8023782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 8023782 is about 2832.6281083121. The cubic root of 8023782 is about 200.1979872739.

The spelling of 8023782 in words is "eight million, twenty-three thousand, seven hundred eighty-two".