80929280 has 80 divisors (see below), whose sum is σ = 196587864. Its totient is φ = 31948800.

The previous prime is 80929273. The next prime is 80929291. The reversal of 80929280 is 8292908.

It can be written as a sum of positive squares in 4 ways, for example, as 60715264 + 20214016 = 7792^2 + 4496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×80929280² = 13099096722636800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258404 + ... + 258716.

Almost surely, 2^80929280 is an apocalyptic number.

80929280 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 80929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98293932).

80929280 is an abundant number, since it is smaller than the sum of its proper divisors (115658584).

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

80929280 is a wasteful number, since it uses less digits than its factorization.

80929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 80929280 is about 8996.0702531717. The cubic root of 80929280 is about 432.5489135765.

The spelling of 80929280 in words is "eighty million, nine hundred twenty-nine thousand, two hundred eighty".