82709760 has 288 divisors, whose sum is σ = 321414912. Its totient is φ = 17694720.

The previous prime is 82709741. The next prime is 82709819. The reversal of 82709760 is 6790728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456870 + ... + 457050.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 2^82709760 is an apocalyptic number.

82709760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160707456).

82709760 is an abundant number, since it is smaller than the sum of its proper divisors (238705152).

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

82709760 is a wasteful number, since it uses less digits than its factorization.

82709760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 82709760 is about 9094.4906399424. The cubic root of 82709760 is about 435.6980205597.

The spelling of 82709760 in words is "eighty-two million, seven hundred nine thousand, seven hundred sixty".