82761000 has 192 divisors, whose sum is σ = 300905280. Its totient is φ = 18883200.

The previous prime is 82760999. The next prime is 82761023. The reversal of 82761000 is 16728.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146719 + ... + 147281.

It is an arithmetic number, because the mean of its divisors is an integer number (1567215).

Almost surely, 2^82761000 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 82761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150452640).

82761000 is an abundant number, since it is smaller than the sum of its proper divisors (218144280).

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

82761000 is a wasteful number, since it uses less digits than its factorization.

82761000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 82761000 is about 9097.3072939194. The cubic root of 82761000 is about 435.7879759164.

Adding to 82761000 its reverse (16728), we get a palindrome (82777728).

The spelling of 82761000 in words is "eighty-two million, seven hundred sixty-one thousand".