82766100 has 72 divisors (see below), whose sum is σ = 240609600. Its totient is φ = 21966080.

The previous prime is 82766083. The next prime is 82766111. The reversal of 82766100 is 166728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78376 + ... + 79424.

It is an arithmetic number, because the mean of its divisors is an integer number (3341800).

Almost surely, 2^82766100 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 82766100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120304800).

82766100 is an abundant number, since it is smaller than the sum of its proper divisors (157843500).

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

82766100 is a wasteful number, since it uses less digits than its factorization.

82766100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 82766100 is about 9097.5875923236. The cubic root of 82766100 is about 435.7969272865.

The spelling of 82766100 in words is "eighty-two million, seven hundred sixty-six thousand, one hundred".