82179840 has 72 divisors (see below), whose sum is σ = 262474128. Its totient is φ = 21913600.

The previous prime is 82179833. The next prime is 82179847. The reversal of 82179840 is 4897128.

It is an interprime number because it is at equal distance from previous prime (82179833) and next prime (82179847).

It is a super-2 number, since 2×82179840² = 13507052204851200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82179847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6861 + ... + 14540.

It is an arithmetic number, because the mean of its divisors is an integer number (3645474).

Almost surely, 2^82179840 is an apocalyptic number.

82179840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82179840 is an abundant number, since it is smaller than the sum of its proper divisors (180294288).

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

82179840 is a wasteful number, since it uses less digits than its factorization.

82179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21425 (or 21411 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 82179840 is about 9065.3097023764. The cubic root of 82179840 is about 434.7655229924.

The spelling of 82179840 in words is "eighty-two million, one hundred seventy-nine thousand, eight hundred forty".