82742440 has 64 divisors (see below), whose sum is σ = 204456960. Its totient is φ = 29886720.

The previous prime is 82742437. The next prime is 82742447. The reversal of 82742440 is 4424728.

It is a super-2 number, since 2×82742440² = 13692622754307200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82742447) 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 15 ways as a sum of consecutive naturals, for example, 75577 + ... + 76663.

It is an arithmetic number, because the mean of its divisors is an integer number (3194640).

Almost surely, 2^82742440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82742440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102228480).

82742440 is an abundant number, since it is smaller than the sum of its proper divisors (121714520).

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

82742440 is a wasteful number, since it uses less digits than its factorization.

82742440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 82742440 is about 9096.2871546582. The cubic root of 82742440 is about 435.7553968452.

The spelling of 82742440 in words is "eighty-two million, seven hundred forty-two thousand, four hundred forty".