814304736 has 216 divisors, whose sum is σ = 2836459080. Its totient is φ = 220340736.

The previous prime is 814304693. The next prime is 814304737. The reversal of 814304736 is 637403418.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 814304736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814304737) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266610 + ... + 269646.

It is an arithmetic number, because the mean of its divisors is an integer number (13131755).

Almost surely, 2^814304736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814304736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418229540).

814304736 is an abundant number, since it is smaller than the sum of its proper divisors (2022154344).

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

814304736 is a wasteful number, since it uses less digits than its factorization.

814304736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 814304736 is about 28536.0252312756. The cubic root of 814304736 is about 933.8181703212.

The spelling of 814304736 in words is "eight hundred fourteen million, three hundred four thousand, seven hundred thirty-six".