82819973900304 has 675 divisors, whose sum is σ = 260205320548173. Its totient is φ = 25428532808448.

The previous prime is 82819973900273. The next prime is 82819973900317. The reversal of 82819973900304 is 40300937991828.

The square root of 82819973900304 is 9100548.

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

82819973900304 is a `hidden beast` number, since 8 + 28 + 199 + 7 + 390 + 0 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43428785362704 + 39391188537600 = 6590052^2 + 6276240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 218522358387 + ... + 218522358765.

Almost surely, 2^{82819973900304} is an apocalyptic number.

82819973900304 is the 9100548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82819973900304

82819973900304 is an abundant number, since it is smaller than the sum of its proper divisors (177385346647869).

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

82819973900304 is an equidigital number, since it uses as much as digits as its factorization.

82819973900304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 82819973900304 in words is "eighty-two trillion, eight hundred nineteen billion, nine hundred seventy-three million, nine hundred thousand, three hundred four".