82334800 has 30 divisors (see below), whose sum is σ = 197810318. Its totient is φ = 32933760.

The previous prime is 82334789. The next prime is 82334803. The reversal of 82334800 is 843328.

82334800 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 5035536 + 77299264 = 2244^2 + 8792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82334803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102519 + ... + 103318.

Almost surely, 2^82334800 is an apocalyptic number.

82334800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82334800 is an abundant number, since it is smaller than the sum of its proper divisors (115475518).

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

82334800 is a wasteful number, since it uses less digits than its factorization.

82334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205855 (or 205844 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 82334800 is about 9073.8525445370. The cubic root of 82334800 is about 435.0386190226.

The spelling of 82334800 in words is "eighty-two million, three hundred thirty-four thousand, eight hundred".