82726400 has 120 divisors (see below), whose sum is σ = 214633584. Its totient is φ = 31539200.

The previous prime is 82726393. The next prime is 82726421. The reversal of 82726400 is 462728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294260 + ... + 294540.

Almost surely, 2^82726400 is an apocalyptic number.

82726400 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 82726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107316792).

82726400 is an abundant number, since it is smaller than the sum of its proper divisors (131907184).

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

82726400 is a wasteful number, since it uses less digits than its factorization.

82726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 82726400 is about 9095.4054335142. The cubic root of 82726400 is about 435.7272373007.

The spelling of 82726400 in words is "eighty-two million, seven hundred twenty-six thousand, four hundred".