82300400 has 360 divisors, whose sum is σ = 276076080. Its totient is φ = 23224320.

The previous prime is 82300373. The next prime is 82300433. The reversal of 82300400 is 400328.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4331591 + ... + 4331609.

It is an arithmetic number, because the mean of its divisors is an integer number (766878).

Almost surely, 2^82300400 is an apocalyptic number.

82300400 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 82300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138038040).

82300400 is an abundant number, since it is smaller than the sum of its proper divisors (193775680).

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

82300400 is a wasteful number, since it uses less digits than its factorization.

82300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 82300400 is about 9071.9567900206. The cubic root of 82300400 is about 434.9780232875.

Adding to 82300400 its reverse (400328), we get a palindrome (82700728).

The spelling of 82300400 in words is "eighty-two million, three hundred thousand, four hundred".