82818000 has 240 divisors, whose sum is σ = 298748736. Its totient is φ = 21369600.

The previous prime is 82817947. The next prime is 82818011. The reversal of 82818000 is 81828.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×82818000² = 13717642248000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773947 + ... + 774053.

Almost surely, 2^82818000 is an apocalyptic number.

82818000 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 82818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149374368).

82818000 is an abundant number, since it is smaller than the sum of its proper divisors (215930736).

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

82818000 is a wasteful number, since it uses less digits than its factorization.

82818000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 82818000 is about 9100.4395498240. The cubic root of 82818000 is about 435.8879997366.

Adding to 82818000 its reverse (81828), we get a palindrome (82899828).

The spelling of 82818000 in words is "eighty-two million, eight hundred eighteen thousand".