82298400 has 144 divisors (see below), whose sum is σ = 273357504. Its totient is φ = 21498880.

The previous prime is 82298399. The next prime is 82298417. The reversal of 82298400 is 489228.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126877 + ... + 127523.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316).

Almost surely, 2^82298400 is an apocalyptic number.

82298400 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 82298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136678752).

82298400 is an abundant number, since it is smaller than the sum of its proper divisors (191059104).

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

82298400 is a wasteful number, since it uses less digits than its factorization.

82298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 82298400 is about 9071.8465595489. The cubic root of 82298400 is about 434.9744997603.

The spelling of 82298400 in words is "eighty-two million, two hundred ninety-eight thousand, four hundred".