82303400 has 48 divisors (see below), whose sum is σ = 196042140. Its totient is φ = 32115200.

The previous prime is 82303391. The next prime is 82303423. The reversal of 82303400 is 430328.

It can be written as a sum of positive squares in 6 ways, for example, as 6160324 + 76143076 = 2482^2 + 8726^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3182 + ... + 13218.

Almost surely, 2^82303400 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 82303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98021070).

82303400 is an abundant number, since it is smaller than the sum of its proper divisors (113738740).

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

82303400 is a wasteful number, since it uses less digits than its factorization.

82303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 82303400 is about 9072.1221332167. The cubic root of 82303400 is about 434.9833084713.

Adding to 82303400 its reverse (430328), we get a palindrome (82733728).

The spelling of 82303400 in words is "eighty-two million, three hundred three thousand, four hundred".