8002006734 has 16 divisors (see below), whose sum is σ = 16004926080. Its totient is φ = 2667183480.

The previous prime is 8002006721. The next prime is 8002006739. The reversal of 8002006734 is 4376002008.

8002006734 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8002006734² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002006739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140277 + ... + 188895.

It is an arithmetic number, because the mean of its divisors is an integer number (1000307880).

Almost surely, 2^8002006734 is an apocalyptic number.

8002006734 is an abundant number, since it is smaller than the sum of its proper divisors (8002919346).

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

8002006734 is a wasteful number, since it uses less digits than its factorization.

8002006734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76055.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 8002006734 is about 89453.9363806870. The cubic root of 8002006734 is about 2000.1672138527.

The spelling of 8002006734 in words is "eight billion, two million, six thousand, seven hundred thirty-four".