82786368 has 112 divisors (see below), whose sum is σ = 258535424. Its totient is φ = 22878720.

The previous prime is 82786343. The next prime is 82786369. The reversal of 82786368 is 86368728.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 not an unprimeable number, because it can be changed into a prime (82786369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40671 + ... + 42657.

It is an arithmetic number, because the mean of its divisors is an integer number (2308352).

Almost surely, 2^82786368 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 82786368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129267712).

82786368 is an abundant number, since it is smaller than the sum of its proper divisors (175749056).

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

82786368 is a wasteful number, since it uses less digits than its factorization.

82786368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2030 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 82786368 is about 9098.7014458108. The cubic root of 82786368 is about 435.8324974504.

The spelling of 82786368 in words is "eighty-two million, seven hundred eighty-six thousand, three hundred sixty-eight".