82320480 has 144 divisors (see below), whose sum is σ = 306515664. Its totient is φ = 19952640.

The previous prime is 82320457. The next prime is 82320481. The reversal of 82320480 is 8402328.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×82320480² = 13553322854860800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82320481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13242 + ... + 18438.

It is an arithmetic number, because the mean of its divisors is an integer number (2128581).

Almost surely, 2^82320480 is an apocalyptic number.

82320480 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 82320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153257832).

82320480 is an abundant number, since it is smaller than the sum of its proper divisors (224195184).

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

82320480 is a wasteful number, since it uses less digits than its factorization.

82320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5218 counting only the distinct ones).

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

The square root of 82320480 is about 9073.0634297353. The cubic root of 82320480 is about 435.0133963373.

The spelling of 82320480 in words is "eighty-two million, three hundred twenty thousand, four hundred eighty".