82840752 has 80 divisors (see below), whose sum is σ = 240029280. Its totient is φ = 27353088.

The previous prime is 82840739. The next prime is 82840753. The reversal of 82840752 is 25704828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82840753) 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, 47968 + ... + 49664.

It is an arithmetic number, because the mean of its divisors is an integer number (3000366).

Almost surely, 2^82840752 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 82840752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120014640).

82840752 is an abundant number, since it is smaller than the sum of its proper divisors (157188528).

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

82840752 is a wasteful number, since it uses less digits than its factorization.

82840752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82840752 is about 9101.6895134914. The cubic root of 82840752 is about 435.9279122183.

The spelling of 82840752 in words is "eighty-two million, eight hundred forty thousand, seven hundred fifty-two".