82337680 has 40 divisors (see below), whose sum is σ = 192612672. Its totient is φ = 32732544.

The previous prime is 82337663. The next prime is 82337687. The reversal of 82337680 is 8673328.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82337687) 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, 10279 + ... + 16441.

Almost surely, 2^82337680 is an apocalyptic number.

82337680 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 82337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96306336).

82337680 is an abundant number, since it is smaller than the sum of its proper divisors (110274992).

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

82337680 is a wasteful number, since it uses less digits than its factorization.

82337680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 82337680 is about 9074.0112409011. The cubic root of 82337680 is about 435.0436913881.

It can be divided in two parts, 823 and 37680, that added together give a triangular number (38503 = T₂₇₇).

The spelling of 82337680 in words is "eighty-two million, three hundred thirty-seven thousand, six hundred eighty".