8072829120 has 112 divisors (see below), whose sum is σ = 25818742368. Its totient is φ = 2137006080.

The previous prime is 8072829119. The next prime is 8072829131. The reversal of 8072829120 is 219282708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100830 + ... + 162210.

Almost surely, 2^8072829120 is an apocalyptic number.

8072829120 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 8072829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909371184).

8072829120 is an abundant number, since it is smaller than the sum of its proper divisors (17745913248).

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

8072829120 is a wasteful number, since it uses less digits than its factorization.

8072829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61538 (or 61528 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 8072829120 is about 89848.9238666774. The cubic root of 8072829120 is about 2006.0507689700.

The spelling of 8072829120 in words is "eight billion, seventy-two million, eight hundred twenty-nine thousand, one hundred twenty".