82765350 has 144 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 20044800.

The previous prime is 82765313. The next prime is 82765363. The reversal of 82765350 is 5356728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 236976 + ... + 237324.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^82765350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82765350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

82765350 is an abundant number, since it is smaller than the sum of its proper divisors (160969050).

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

82765350 is a wasteful number, since it uses less digits than its factorization.

82765350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

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

The square root of 82765350 is about 9097.5463725117. The cubic root of 82765350 is about 435.7956109316.

The spelling of 82765350 in words is "eighty-two million, seven hundred sixty-five thousand, three hundred fifty".