82352700 has 108 divisors (see below), whose sum is σ = 267769320. Its totient is φ = 21954240.

The previous prime is 82352693. The next prime is 82352701. The reversal of 82352700 is 725328.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82352701) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 22606 + ... + 25994.

Almost surely, 2^82352700 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 82352700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133884660).

82352700 is an abundant number, since it is smaller than the sum of its proper divisors (185416620).

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

82352700 is a wasteful number, since it uses less digits than its factorization.

82352700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 82352700 is about 9074.8388415442. The cubic root of 82352700 is about 435.0701432668.

The spelling of 82352700 in words is "eighty-two million, three hundred fifty-two thousand, seven hundred".