814006704 has 80 divisors (see below), whose sum is σ = 2410417152. Its totient is φ = 231880704.

The previous prime is 814006691. The next prime is 814006709. The reversal of 814006704 is 407600418.

It is not an unprimeable number, because it can be changed into a prime (814006709) 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, 115177 + ... + 122039.

Almost surely, 2^814006704 is an apocalyptic number.

814006704 is a gapful number since it is divisible by the number (84) 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 814006704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205208576).

814006704 is an abundant number, since it is smaller than the sum of its proper divisors (1596410448).

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

814006704 is a wasteful number, since it uses less digits than its factorization.

814006704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7234 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 814006704 is about 28530.8027226715. The cubic root of 814006704 is about 933.7042319536.

The spelling of 814006704 in words is "eight hundred fourteen million, six thousand, seven hundred four".