82802640 has 40 divisors (see below), whose sum is σ = 256688928. Its totient is φ = 22080640.

The previous prime is 82802639. The next prime is 82802647. The reversal of 82802640 is 4620828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82802598 and 82802607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82802647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172266 + ... + 172745.

Almost surely, 2^82802640 is an apocalyptic number.

82802640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82802640 is an abundant number, since it is smaller than the sum of its proper divisors (173886288).

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

82802640 is a wasteful number, since it uses less digits than its factorization.

82802640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345027 (or 345021 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82802640 is about 9099.5955954097. The cubic root of 82802640 is about 435.8610504678.

The spelling of 82802640 in words is "eighty-two million, eight hundred two thousand, six hundred forty".