80640000 has 360 divisors, whose sum is σ = 332612280. Its totient is φ = 18432000.

The previous prime is 80639969. The next prime is 80640011. The reversal of 80640000 is 4608.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11519997 + ... + 11520003.

It is an arithmetic number, because the mean of its divisors is an integer number (923923).

Almost surely, 2^80640000 is an apocalyptic number.

80640000 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 80640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166306140).

80640000 is an abundant number, since it is smaller than the sum of its proper divisors (251972280).

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

80640000 is an equidigital number, since it uses as much as digits as its factorization.

80640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 80640000 is about 8979.9777282575. The cubic root of 80640000 is about 432.0329193021.

Adding to 80640000 its reverse (4608), we get a palindrome (80644608).

The spelling of 80640000 in words is "eighty million, six hundred forty thousand".