82027764 has 180 divisors, whose sum is σ = 264067076. Its totient is φ = 21337344.

The previous prime is 82027741. The next prime is 82027783. The reversal of 82027764 is 46772028.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 54022500 = 5292^2 + 7350^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1123632 + ... + 1123704.

Almost surely, 2^82027764 is an apocalyptic number.

82027764 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82027764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132033538).

82027764 is an abundant number, since it is smaller than the sum of its proper divisors (182039312).

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

82027764 is a wasteful number, since it uses less digits than its factorization.

82027764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 82027764 is about 9056.9180188406. The cubic root of 82027764 is about 434.4971756391.

The spelling of 82027764 in words is "eighty-two million, twenty-seven thousand, seven hundred sixty-four".