82340820 has 96 divisors (see below), whose sum is σ = 258249600. Its totient is φ = 21779712.

The previous prime is 82340807. The next prime is 82340821. The reversal of 82340820 is 2804328.

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 (82340821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74512 + ... + 75608.

It is an arithmetic number, because the mean of its divisors is an integer number (2690100).

Almost surely, 2^82340820 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 82340820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129124800).

82340820 is an abundant number, since it is smaller than the sum of its proper divisors (175908780).

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

82340820 is a wasteful number, since it uses less digits than its factorization.

82340820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82340820 is about 9074.1842608578. The cubic root of 82340820 is about 435.0492215408.

The spelling of 82340820 in words is "eighty-two million, three hundred forty thousand, eight hundred twenty".