80725680 has 320 divisors, whose sum is σ = 335692800. Its totient is φ = 17418240.

The previous prime is 80725637. The next prime is 80725681. The reversal of 80725680 is 8652708.

It is a super-2 number, since 2×80725680² = 13033270822924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80725681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287140 + ... + 287420.

It is an arithmetic number, because the mean of its divisors is an integer number (1049040).

Almost surely, 2^80725680 is an apocalyptic number.

80725680 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 80725680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167846400).

80725680 is an abundant number, since it is smaller than the sum of its proper divisors (254967120).

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

80725680 is a wasteful number, since it uses less digits than its factorization.

80725680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 80725680 is about 8984.7470749042. The cubic root of 80725680 is about 432.1858768014.

The spelling of 80725680 in words is "eighty million, seven hundred twenty-five thousand, six hundred eighty".