814116280 has 64 divisors (see below), whose sum is σ = 1922356800. Its totient is φ = 309703680.

The previous prime is 814116271. The next prime is 814116283. The reversal of 814116280 is 82611418.

It is a super-2 number, since 2×814116280² = 1325570634722076800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814116283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164076 + ... + 168964.

It is an arithmetic number, because the mean of its divisors is an integer number (30036825).

Almost surely, 2^814116280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814116280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961178400).

814116280 is an abundant number, since it is smaller than the sum of its proper divisors (1108240520).

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

814116280 is a wasteful number, since it uses less digits than its factorization.

814116280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 814116280 is about 28532.7229685496. The cubic root of 814116280 is about 933.7461263606.

Adding to 814116280 its reverse (82611418), we get a palindrome (896727698).

The spelling of 814116280 in words is "eight hundred fourteen million, one hundred sixteen thousand, two hundred eighty".