82575760 has 40 divisors (see below), whose sum is σ = 198614520. Its totient is φ = 31890432.

The previous prime is 82575739. The next prime is 82575799. The reversal of 82575760 is 6757528.

It can be written as a sum of positive squares in 4 ways, for example, as 274576 + 82301184 = 524^2 + 9072^2 .

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

It is a super-2 number, since 2×82575760² = 13637512279155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15477 + ... + 20116.

It is an arithmetic number, because the mean of its divisors is an integer number (4965363).

Almost surely, 2^82575760 is an apocalyptic number.

82575760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82575760 is an abundant number, since it is smaller than the sum of its proper divisors (116038760).

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

82575760 is a wasteful number, since it uses less digits than its factorization.

82575760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35635 (or 35629 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 82575760 is about 9087.1205560397. The cubic root of 82575760 is about 435.4625985544.

The spelling of 82575760 in words is "eighty-two million, five hundred seventy-five thousand, seven hundred sixty".