82756300 has 72 divisors (see below), whose sum is σ = 204486912. Its totient is φ = 28776000.

The previous prime is 82756283. The next prime is 82756301. The reversal of 82756300 is 365728.

It is not an unprimeable number, because it can be changed into a prime (82756301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23665 + ... + 26935.

It is an arithmetic number, because the mean of its divisors is an integer number (2840096).

Almost surely, 2^82756300 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 82756300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102243456).

82756300 is an abundant number, since it is smaller than the sum of its proper divisors (121730612).

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

82756300 is a wasteful number, since it uses less digits than its factorization.

82756300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 82756300 is about 9097.0489720568. The cubic root of 82756300 is about 435.7797262889.

The spelling of 82756300 in words is "eighty-two million, seven hundred fifty-six thousand, three hundred".