82410000 has 200 divisors, whose sum is σ = 276586464. Its totient is φ = 21120000.

The previous prime is 82409983. The next prime is 82410017. The reversal of 82410000 is 1428.

It is an interprime number because it is at equal distance from previous prime (82409983) and next prime (82410017).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1229967 + ... + 1230033.

Almost surely, 2^82410000 is an apocalyptic number.

82410000 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 82410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138293232).

82410000 is an abundant number, since it is smaller than the sum of its proper divisors (194176464).

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

82410000 is a wasteful number, since it uses less digits than its factorization.

82410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82410000 is about 9077.9953734291. The cubic root of 82410000 is about 435.1710253652.

Adding to 82410000 its reverse (1428), we get a palindrome (82411428).

The spelling of 82410000 in words is "eighty-two million, four hundred ten thousand".