82725264400 has 135 divisors (see below), whose sum is σ = 202535382981. Its totient is φ = 32471147520.

The previous prime is 82725264397. The next prime is 82725264443. The reversal of 82725264400 is 446252728.

The square root of 82725264400 is 287620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3822701584 + 78902562816 = 61828^2 + 280896^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 419925102 + ... + 419925298.

Almost surely, 2^82725264400 is an apocalyptic number.

82725264400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

82725264400 is the 287620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82725264400

82725264400 is an abundant number, since it is smaller than the sum of its proper divisors (119810118581).

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

82725264400 is an equidigital number, since it uses as much as digits as its factorization.

82725264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 82725264400 in words is "eighty-two billion, seven hundred twenty-five million, two hundred sixty-four thousand, four hundred".