82753160 has 48 divisors (see below), whose sum is σ = 216598860. Its totient is φ = 28371840.

The previous prime is 82753159. The next prime is 82753163. The reversal of 82753160 is 6135728.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77545636 + 5207524 = 8806^2 + 2282^2 .

It is not an unprimeable number, because it can be changed into a prime (82753163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19151 + ... + 23070.

Almost surely, 2^82753160 is an apocalyptic number.

It is an amenable number.

82753160 is an abundant number, since it is smaller than the sum of its proper divisors (133845700).

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

82753160 is a wasteful number, since it uses less digits than its factorization.

82753160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42246 (or 42235 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 82753160 is about 9096.8763869803. The cubic root of 82753160 is about 435.7742146616.

Adding to 82753160 its reverse (6135728), we get a palindrome (88888888).

The spelling of 82753160 in words is "eighty-two million, seven hundred fifty-three thousand, one hundred sixty".