82768050 has 72 divisors (see below), whose sum is σ = 223756884. Its totient is φ = 21934080.

The previous prime is 82768043. The next prime is 82768051. The reversal of 82768050 is 5086728.

It can be written as a sum of positive squares in 6 ways, for example, as 16719921 + 66048129 = 4089^2 + 8127^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82767996 and 82768014.

It is not an unprimeable number, because it can be changed into a prime (82768051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86374 + ... + 87326.

Almost surely, 2^82768050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82768050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111878442).

82768050 is an abundant number, since it is smaller than the sum of its proper divisors (140988834).

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

82768050 is a wasteful number, since it uses less digits than its factorization.

82768050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 82768050 is about 9097.6947629606. The cubic root of 82768050 is about 435.8003497720.

The spelling of 82768050 in words is "eighty-two million, seven hundred sixty-eight thousand, fifty".