82402320 has 400 divisors, whose sum is σ = 350102592. Its totient is φ = 15805440.

The previous prime is 82402303. The next prime is 82402321. The reversal of 82402320 is 2320428.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82402321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6338634 + ... + 6338646.

Almost surely, 2^82402320 is an apocalyptic number.

82402320 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 82402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175051296).

82402320 is an abundant number, since it is smaller than the sum of its proper divisors (267700272).

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

82402320 is a wasteful number, since it uses less digits than its factorization.

82402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 82402320 is about 9077.5723626970. The cubic root of 82402320 is about 435.1575067093.

Adding to 82402320 its reverse (2320428), we get a palindrome (84722748).

The spelling of 82402320 in words is "eighty-two million, four hundred two thousand, three hundred twenty".