82753560 has 96 divisors (see below), whose sum is σ = 270073440. Its totient is φ = 21975552.

The previous prime is 82753547. The next prime is 82753579. The reversal of 82753560 is 6535728.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 164269 + ... + 164771.

It is an arithmetic number, because the mean of its divisors is an integer number (2813265).

Almost surely, 2^82753560 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 82753560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135036720).

82753560 is an abundant number, since it is smaller than the sum of its proper divisors (187319880).

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

82753560 is a wasteful number, since it uses less digits than its factorization.

82753560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 82753560 is about 9096.8983725224. The cubic root of 82753560 is about 435.7749167875.

The spelling of 82753560 in words is "eighty-two million, seven hundred fifty-three thousand, five hundred sixty".