82338480 has 360 divisors, whose sum is σ = 345754656. Its totient is φ = 17141760.

The previous prime is 82338469. The next prime is 82338541. The reversal of 82338480 is 8483328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2656065 + ... + 2656095.

Almost surely, 2^82338480 is an apocalyptic number.

82338480 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 82338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172877328).

82338480 is an abundant number, since it is smaller than the sum of its proper divisors (263416176).

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

82338480 is a wasteful number, since it uses less digits than its factorization.

82338480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 82338480 is about 9074.0553227319. The cubic root of 82338480 is about 435.0451003576.

The spelling of 82338480 in words is "eighty-two million, three hundred thirty-eight thousand, four hundred eighty".