814723120 has 20 divisors (see below), whose sum is σ = 1894231440. Its totient is φ = 325889216.

The previous prime is 814723109. The next prime is 814723127. The reversal of 814723120 is 21327418.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (814723127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5091940 + ... + 5092099.

It is an arithmetic number, because the mean of its divisors is an integer number (94711572).

Almost surely, 2^814723120 is an apocalyptic number.

814723120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

814723120 is an abundant number, since it is smaller than the sum of its proper divisors (1079508320).

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

814723120 is a wasteful number, since it uses less digits than its factorization.

814723120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10184052 (or 10184046 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 814723120 is about 28543.3550936115. The cubic root of 814723120 is about 933.9780726572.

It can be divided in two parts, 81 and 4723120, that added together give a triangular number (4723201 = T₃₀₇₃).

The spelling of 814723120 in words is "eight hundred fourteen million, seven hundred twenty-three thousand, one hundred twenty".