82351780900 has 27 divisors (see below), whose sum is σ = 178709592019. Its totient is φ = 32939564480.

The previous prime is 82351780757. The next prime is 82351780939. The reversal of 82351780900 is 908715328.

The square root of 82351780900 is 286970.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28902040036 + 53449740864 = 170006^2 + 231192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2855352 + ... + 2884048.

Almost surely, 2^82351780900 is an apocalyptic number.

82351780900 is the 286970-th square number.

It is an amenable number.

82351780900 is an abundant number, since it is smaller than the sum of its proper divisors (96357811119).

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

82351780900 is an frugal number, since it uses more digits than its factorization.

82351780900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57408 (or 28704 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 82351780900 in words is "eighty-two billion, three hundred fifty-one million, seven hundred eighty thousand, nine hundred".