80529120 has 192 divisors, whose sum is σ = 322237440. Its totient is φ = 18399744.

The previous prime is 80529107. The next prime is 80529121. The reversal of 80529120 is 2192508.

It is a super-3 number, since 3×80529120³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80529121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28909 + ... + 31571.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320).

Almost surely, 2^80529120 is an apocalyptic number.

80529120 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 80529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

80529120 is an abundant number, since it is smaller than the sum of its proper divisors (241708320).

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

80529120 is a wasteful number, since it uses less digits than its factorization.

80529120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 80529120 is about 8973.8018698877. The cubic root of 80529120 is about 431.8348133878.

The spelling of 80529120 in words is "eighty million, five hundred twenty-nine thousand, one hundred twenty".