82274800 has 60 divisors (see below), whose sum is σ = 200518416. Its totient is φ = 32435200.

The previous prime is 82274789. The next prime is 82274809. The reversal of 82274800 is 847228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82274809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26952 + ... + 29848.

Almost surely, 2^82274800 is an apocalyptic number.

82274800 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 82274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100259208).

82274800 is an abundant number, since it is smaller than the sum of its proper divisors (118243616).

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

82274800 is a wasteful number, since it uses less digits than its factorization.

82274800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 82274800 is about 9070.5457388186. The cubic root of 82274800 is about 434.9329178276.

The spelling of 82274800 in words is "eighty-two million, two hundred seventy-four thousand, eight hundred".