802006705 has 16 divisors (see below), whose sum is σ = 1020228480. Its totient is φ = 603148032.

The previous prime is 802006703. The next prime is 802006729. The reversal of 802006705 is 507600208.

It is not a de Polignac number, because 802006705 - 2¹ = 802006703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (802006703) 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, 72982 + ... + 83248.

It is an arithmetic number, because the mean of its divisors is an integer number (63764280).

Almost surely, 2^802006705 is an apocalyptic number.

802006705 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

802006705 is a deficient number, since it is larger than the sum of its proper divisors (218221775).

802006705 is a wasteful number, since it uses less digits than its factorization.

802006705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11208.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 802006705 is about 28319.7228976556. The cubic root of 802006705 is about 929.0933102573.

The spelling of 802006705 in words is "eight hundred two million, six thousand, seven hundred five".