80829520 has 40 divisors (see below), whose sum is σ = 189217800. Its totient is φ = 32110080.

The previous prime is 80829499. The next prime is 80829523. The reversal of 80829520 is 2592808.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 80425024 = 636^2 + 8968^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×80829520² = 13066822606860800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80829523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8530 + ... + 15310.

It is an arithmetic number, because the mean of its divisors is an integer number (4730445).

Almost surely, 2^80829520 is an apocalyptic number.

80829520 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 80829520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94608900).

80829520 is an abundant number, since it is smaller than the sum of its proper divisors (108388280).

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

80829520 is a wasteful number, since it uses less digits than its factorization.

80829520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 80829520 is about 8990.5239001963. The cubic root of 80829520 is about 432.3711088632.

The spelling of 80829520 in words is "eighty million, eight hundred twenty-nine thousand, five hundred twenty".