82740221316 has 81 divisors (see below), whose sum is σ = 211090631479. Its totient is φ = 27326370000.

The previous prime is 82740221293. The next prime is 82740221341. The reversal of 82740221316 is 61312204728.

It is a happy number.

The square root of 82740221316 is 287646.

It is a perfect power (a square), and thus also a powerful number.

82740221316 is a `hidden beast` number, since 8 + 27 + 402 + 213 + 16 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 329642191 + ... + 329642441.

Almost surely, 2^82740221316 is an apocalyptic number.

82740221316 is the 287646-th square number.

It is an amenable number.

82740221316 is an abundant number, since it is smaller than the sum of its proper divisors (128350410163).

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

82740221316 is a wasteful number, since it uses less digits than its factorization.

82740221316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 82740221316 by its sum of digits (36), we get a square (2978647967376 = 1725876²).

82740221316 divided by its sum of digits (36) gives a square (2298339481 = 47941²).

The spelling of 82740221316 in words is "eighty-two billion, seven hundred forty million, two hundred twenty-one thousand, three hundred sixteen".