82759644 has 90 divisors (see below), whose sum is σ = 237918912. Its totient is φ = 25066800.

The previous prime is 82759619. The next prime is 82759657. The reversal of 82759644 is 44695728.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82759644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38149 + ... + 40259.

Almost surely, 2^82759644 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 82759644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118959456).

82759644 is an abundant number, since it is smaller than the sum of its proper divisors (155159268).

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

82759644 is a wasteful number, since it uses less digits than its factorization.

82759644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2127 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 82759644 is about 9097.2327660668. The cubic root of 82759644 is about 435.7855958432.

The spelling of 82759644 in words is "eighty-two million, seven hundred fifty-nine thousand, six hundred forty-four".