802655406 has 80 divisors (see below), whose sum is σ = 2076952416. Its totient is φ = 226934784.

The previous prime is 802655389. The next prime is 802655407. The reversal of 802655406 is 604556208.

802655406 is a `hidden beast` number, since 80 + 26 + 554 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802655407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106350 + ... + 113646.

Almost surely, 2^802655406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802655406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038476208).

802655406 is an abundant number, since it is smaller than the sum of its proper divisors (1274297010).

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

802655406 is a wasteful number, since it uses less digits than its factorization.

802655406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 802655406 is about 28331.1737490701. The cubic root of 802655406 is about 929.3437409708.

The spelling of 802655406 in words is "eight hundred two million, six hundred fifty-five thousand, four hundred six".