82337800 has 96 divisors (see below), whose sum is σ = 206538120. Its totient is φ = 30412800.

The previous prime is 82337797. The next prime is 82337807. The reversal of 82337800 is 873328.

It can be written as a sum of positive squares in 12 ways, for example, as 2735716 + 79602084 = 1654^2 + 8922^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82337807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207202 + ... + 207598.

Almost surely, 2^82337800 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 82337800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103269060).

82337800 is an abundant number, since it is smaller than the sum of its proper divisors (124200320).

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

82337800 is a wasteful number, since it uses less digits than its factorization.

82337800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 82337800 is about 9074.0178531894. The cubic root of 82337800 is about 435.0439027341.

The spelling of 82337800 in words is "eighty-two million, three hundred thirty-seven thousand, eight hundred".