80827687738084 has 135 divisors (see below), whose sum is σ = 166207291661481. Its totient is φ = 34391600701920.

The previous prime is 80827687738081. The next prime is 80827687738097. The reversal of 80827687738084 is 48083778672808.

The square root of 80827687738084 is 8990422.

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

It can be written as a sum of positive squares in only one way, i.e., 25908323960484 + 54919363777600 = 5090022^2 + 7410760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 80827687738084.

It is not an unprimeable number, because it can be changed into a prime (80827687738081) 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, 175331209614 + ... + 175331210074.

Almost surely, 2^{80827687738084} is an apocalyptic number.

80827687738084 is the 8990422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80827687738084

80827687738084 is an abundant number, since it is smaller than the sum of its proper divisors (85379603923397).

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

80827687738084 is an frugal number, since it uses more digits than its factorization.

80827687738084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1618477056, while the sum is 76.

The spelling of 80827687738084 in words is "eighty trillion, eight hundred twenty-seven billion, six hundred eighty-seven million, seven hundred thirty-eight thousand, eighty-four".