814113720 has 128 divisors (see below), whose sum is σ = 3101414400. Its totient is φ = 186081408.

The previous prime is 814113667. The next prime is 814113721. The reversal of 814113720 is 27311418.

It is a super-2 number, since 2×814113720² = 1325562298184476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814113721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46284 + ... + 61403.

It is an arithmetic number, because the mean of its divisors is an integer number (24229800).

Almost surely, 2^814113720 is an apocalyptic number.

It is an amenable number.

814113720 is an abundant number, since it is smaller than the sum of its proper divisors (2287300680).

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

814113720 is a wasteful number, since it uses less digits than its factorization.

814113720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107714 (or 107704 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 814113720 is about 28532.6781077417. The cubic root of 814113720 is about 933.7451476337.

The spelling of 814113720 in words is "eight hundred fourteen million, one hundred thirteen thousand, seven hundred twenty".