814378781760 has 112 divisors (see below), whose sum is σ = 2698072384896. Its totient is φ = 207725596672.

The previous prime is 814378781743. The next prime is 814378781849. The reversal of 814378781760 is 67187873418.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 814378781694 and 814378781703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18419469 + ... + 18463628.

It is an arithmetic number, because the mean of its divisors is an integer number (24089932008).

Almost surely, 2^814378781760 is an apocalyptic number.

814378781760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

814378781760 is an abundant number, since it is smaller than the sum of its proper divisors (1883693603136).

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

814378781760 is a wasteful number, since it uses less digits than its factorization.

814378781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36883140 (or 36883130 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 60.

The spelling of 814378781760 in words is "eight hundred fourteen billion, three hundred seventy-eight million, seven hundred eighty-one thousand, seven hundred sixty".