82302720 has 72 divisors (see below), whose sum is σ = 262866576. Its totient is φ = 21946368.

The previous prime is 82302719. The next prime is 82302721. The reversal of 82302720 is 2720328.

It is an interprime number because it is at equal distance from previous prime (82302719) and next prime (82302721).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82302721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6877 + ... + 14556.

Almost surely, 2^82302720 is an apocalyptic number.

82302720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82302720 is an abundant number, since it is smaller than the sum of its proper divisors (180563856).

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

82302720 is a wasteful number, since it uses less digits than its factorization.

82302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21457 (or 21443 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 82302720 is about 9072.0846556897. The cubic root of 82302720 is about 434.9821105075.

The spelling of 82302720 in words is "eighty-two million, three hundred two thousand, seven hundred twenty".