8020782 has 80 divisors (see below), whose sum is σ = 22442112. Its totient is φ = 2080080.

The previous prime is 8020781. The next prime is 8020783. The reversal of 8020782 is 2870208.

It is an interprime number because it is at equal distance from previous prime (8020781) and next prime (8020783).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8020781) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 12153 + ... + 12795.

Almost surely, 2^8020782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8020782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11221056).

8020782 is an abundant number, since it is smaller than the sum of its proper divisors (14421330).

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

8020782 is a wasteful number, since it uses less digits than its factorization.

8020782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8020782 is about 2832.0985152357. The cubic root of 8020782 is about 200.1730335870.

The spelling of 8020782 in words is "eight million, twenty thousand, seven hundred eighty-two".