80298284386761 has 45 divisors (see below), whose sum is σ = 139536699689079. Its totient is φ = 45884411341776.

The previous prime is 80298284386759. The next prime is 80298284386787. The reversal of 80298284386761 is 16768348289208.

The square root of 80298284386761 is 8960931.

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

80298284386761 is a `hidden beast` number, since 8 + 0 + 29 + 82 + 84 + 386 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62687202125625 + 17611082261136 = 7917525^2 + 4196556^2 .

It is not a de Polignac number, because 80298284386761 - 2¹ = 80298284386759 is a prime.

It is a super-2 number, since 2×80298284386761² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 80298284386761.

It is not an unprimeable number, because it can be changed into a prime (80298284386751) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 564467535 + ... + 564609771.

Almost surely, 2^{80298284386761} is an apocalyptic number.

80298284386761 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

80298284386761 is the 8960931-st square number.

80298284386761 is the 4480466-th centered octagonal number.

It is an amenable number.

80298284386761 is a deficient number, since it is larger than the sum of its proper divisors (59238415302318).

80298284386761 is an frugal number, since it uses more digits than its factorization.

80298284386761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284500 (or 142247 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 80298284386761 in words is "eighty trillion, two hundred ninety-eight billion, two hundred eighty-four million, three hundred eighty-six thousand, seven hundred sixty-one".