806647400 has 72 divisors (see below), whose sum is σ = 2023353570. Its totient is φ = 297304320.

The previous prime is 806647357. The next prime is 806647403. The reversal of 806647400 is 4746608.

It can be written as a sum of positive squares in 9 ways, for example, as 139665124 + 666982276 = 11818^2 + 25826^2 .

It is not an unprimeable number, because it can be changed into a prime (806647403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1447922 + ... + 1448478.

Almost surely, 2^806647400 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 806647400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011676785).

806647400 is an abundant number, since it is smaller than the sum of its proper divisors (1216706170).

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

806647400 is a wasteful number, since it uses less digits than its factorization.

806647400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 806647400 is about 28401.5386907118. The cubic root of 806647400 is about 930.8818859473.

The spelling of 806647400 in words is "eight hundred six million, six hundred forty-seven thousand, four hundred".