82775360 has 28 divisors (see below), whose sum is σ = 197109588. Its totient is φ = 33110016.

The previous prime is 82775359. The next prime is 82775369. The reversal of 82775360 is 6357728.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50239744 + 32535616 = 7088^2 + 5704^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82775369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129017 + ... + 129656.

Almost surely, 2^82775360 is an apocalyptic number.

82775360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82775360 is an abundant number, since it is smaller than the sum of its proper divisors (114334228).

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

82775360 is a wasteful number, since it uses less digits than its factorization.

82775360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258690 (or 258680 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 82775360 is about 9098.0965042145. The cubic root of 82775360 is about 435.8131792265.

The spelling of 82775360 in words is "eighty-two million, seven hundred seventy-five thousand, three hundred sixty".