814004070 has 128 divisors (see below), whose sum is σ = 2207623680. Its totient is φ = 190356480.

The previous prime is 814004041. The next prime is 814004077. The reversal of 814004070 is 70400418.

It is a self number, because there is not a number n which added to its sum of digits gives 814004070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814004077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1990026 + ... + 1990434.

It is an arithmetic number, because the mean of its divisors is an integer number (17247060).

Almost surely, 2^814004070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814004070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103811840).

814004070 is an abundant number, since it is smaller than the sum of its proper divisors (1393619610).

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

814004070 is a wasteful number, since it uses less digits than its factorization.

814004070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630.

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 814004070 is about 28530.7565619981. The cubic root of 814004070 is about 933.7032248450.

Adding to 814004070 its reverse (70400418), we get a palindrome (884404488).

The spelling of 814004070 in words is "eight hundred fourteen million, four thousand, seventy".