814720 has 64 divisors (see below), whose sum is σ = 2080800. Its totient is φ = 304128.

The previous prime is 814717. The next prime is 814741. The reversal of 814720 is 27418.

It is a tau number, because it is divible by the number of its divisors (64).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 814691 and 814700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12127 + ... + 12193.

2⁸¹⁴⁷²⁰ is an apocalyptic number.

814720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040400).

814720 is an abundant number, since it is smaller than the sum of its proper divisors (1266080).

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

814720 is a wasteful number, since it uses less digits than its factorization.

814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 814720 is about 902.6184132844. The cubic root of 814720 is about 93.3976880426.

The spelling of 814720 in words is "eight hundred fourteen thousand, seven hundred twenty".