82373760 has 320 divisors, whose sum is σ = 337677120. Its totient is φ = 18745344.

The previous prime is 82373737. The next prime is 82373761. The reversal of 82373760 is 6737328.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (82373761) 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 39 ways as a sum of consecutive naturals, for example, 362767 + ... + 362993.

It is an arithmetic number, because the mean of its divisors is an integer number (1055241).

Almost surely, 2^82373760 is an apocalyptic number.

82373760 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 82373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168838560).

82373760 is an abundant number, since it is smaller than the sum of its proper divisors (255303360).

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

82373760 is a wasteful number, since it uses less digits than its factorization.

82373760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 82373760 is about 9075.9991185544. Note that the first 3 decimals coincide. The cubic root of 82373760 is about 435.1072268365.

The spelling of 82373760 in words is "eighty-two million, three hundred seventy-three thousand, seven hundred sixty".