82126400 has 42 divisors (see below), whose sum is σ = 202086210. Its totient is φ = 32849920.

The previous prime is 82126393. The next prime is 82126423. The reversal of 82126400 is 462128.

It can be written as a sum of positive squares in 3 ways, for example, as 16581184 + 65545216 = 4072^2 + 8096^2 .

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, 24065 + ... + 27264.

Almost surely, 2^82126400 is an apocalyptic number.

82126400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82126400 is an abundant number, since it is smaller than the sum of its proper divisors (119959810).

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

82126400 is a wasteful number, since it uses less digits than its factorization.

82126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51351 (or 51336 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 82126400 is about 9062.3617230830. The cubic root of 82126400 is about 434.6712626176.

Adding to 82126400 its reverse (462128), we get a palindrome (82588528).

The spelling of 82126400 in words is "eighty-two million, one hundred twenty-six thousand, four hundred".