82026400 has 36 divisors (see below), whose sum is σ = 200248902. Its totient is φ = 32810240.

The previous prime is 82026367. The next prime is 82026431. The reversal of 82026400 is 462028.

It can be written as a sum of positive squares in 3 ways, for example, as 55771024 + 26255376 = 7468^2 + 5124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50467 + ... + 52066.

Almost surely, 2^82026400 is an apocalyptic number.

82026400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82026400 is an abundant number, since it is smaller than the sum of its proper divisors (118222502).

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

82026400 is a wasteful number, since it uses less digits than its factorization.

82026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102553 (or 102540 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 82026400 is about 9056.8427169737. The cubic root of 82026400 is about 434.4947672780.

Adding to 82026400 its reverse (462028), we get a palindrome (82488428).

The spelling of 82026400 in words is "eighty-two million, twenty-six thousand, four hundred".