82399400 has 48 divisors (see below), whose sum is σ = 194853600. Its totient is φ = 32396480.

The previous prime is 82399399. The next prime is 82399403. The reversal of 82399400 is 499328.

It is a super-2 number, since 2×82399400² = 13579322240720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82399403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8309 + ... + 15291.

It is an arithmetic number, because the mean of its divisors is an integer number (4059450).

Almost surely, 2^82399400 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 82399400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97426800).

82399400 is an abundant number, since it is smaller than the sum of its proper divisors (112454200).

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

82399400 is a wasteful number, since it uses less digits than its factorization.

82399400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 82399400 is about 9077.4115253193. The cubic root of 82399400 is about 435.1523665832.

The spelling of 82399400 in words is "eighty-two million, three hundred ninety-nine thousand, four hundred".