82408320 has 256 divisors, whose sum is σ = 308448000. Its totient is φ = 20736000.

The previous prime is 82408283. The next prime is 82408327. The reversal of 82408320 is 2380428.

It is a super-2 number, since 2×82408320² = 13582262410444800, which contains 22 as substring.

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 (82408327) 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, 328195 + ... + 328445.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^82408320 is an apocalyptic number.

82408320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

82408320 is an abundant number, since it is smaller than the sum of its proper divisors (226039680).

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

82408320 is a wasteful number, since it uses less digits than its factorization.

82408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

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

The square root of 82408320 is about 9077.9028415158. The cubic root of 82408320 is about 435.1680682310.

Adding to 82408320 its reverse (2380428), we get a palindrome (84788748).

It can be divided in two parts, 82408 and 320, that added together give a palindrome (82728).

The spelling of 82408320 in words is "eighty-two million, four hundred eight thousand, three hundred twenty".