82757640 has 128 divisors (see below), whose sum is σ = 287400960. Its totient is φ = 18672384.

The previous prime is 82757627. The next prime is 82757651. The reversal of 82757640 is 4675728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69127 + ... + 70313.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2^82757640 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 82757640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

82757640 is an abundant number, since it is smaller than the sum of its proper divisors (204643320).

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

82757640 is a wasteful number, since it uses less digits than its factorization.

82757640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 82757640 is about 9097.1226220163. The cubic root of 82757640 is about 435.7820783422.

The spelling of 82757640 in words is "eighty-two million, seven hundred fifty-seven thousand, six hundred forty".