82740 has 48 divisors (see below), whose sum is σ = 266112. Its totient is φ = 18816.

The previous prime is 82729. The next prime is 82757. The reversal of 82740 is 4728.

82740 = T₄₉ + T₅₀ + ... + T₈₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁸²⁷⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056).

82740 is an abundant number, since it is smaller than the sum of its proper divisors (183372).

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

82740 is a wasteful number, since it uses less digits than its factorization.

82740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 82740 is about 287.6456152977. The cubic root of 82740 is about 43.5751113458.

The spelling of 82740 in words is "eighty-two thousand, seven hundred forty".