8029000000 has 392 divisors, whose sum is σ = 24129691136. Its totient is φ = 2592000000.

The previous prime is 8028999991. The next prime is 8029000009. The reversal of 8029000000 is 9208.

It is an interprime number because it is at equal distance from previous prime (8028999991) and next prime (8029000009).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 8029000000 = 850³ + 1950³ = 1300³ + 1800³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8029000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 216999982 + ... + 217000018.

Almost surely, 2^8029000000 is an apocalyptic number.

8029000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8029000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064845568).

8029000000 is an abundant number, since it is smaller than the sum of its proper divisors (16100691136).

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

8029000000 is an frugal number, since it uses more digits than its factorization.

8029000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 8029000000 is about 89604.6873773911. The cubic root of 8029000000 is about 2002.4137523944.

Adding to 8029000000 its reverse (9208), we get a palindrome (8029009208).

The spelling of 8029000000 in words is "eight billion, twenty-nine million", and thus it is an aban number and an uban number.