80080000 has 320 divisors, whose sum is σ = 267664320. Its totient is φ = 23040000.

The previous prime is 80079983. The next prime is 80080001. The reversal of 80080000 is 8008.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is not an unprimeable number, because it can be changed into a prime (80080001) 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 39 ways as a sum of consecutive naturals, for example, 6159994 + ... + 6160006.

It is an arithmetic number, because the mean of its divisors is an integer number (836451).

Almost surely, 2^80080000 is an apocalyptic number.

80080000 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 80080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133832160).

80080000 is an abundant number, since it is smaller than the sum of its proper divisors (187584320).

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

80080000 is a wasteful number, since it uses less digits than its factorization.

80080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 80080000 is about 8948.7429284788. The cubic root of 80080000 is about 431.0305191360.

Adding to 80080000 its reverse (8008), we get a palindrome (80088008).

Multiplying 80080000 by its reverse (8008), we get a square (641280640000 = 800800²).

80080000 divided by its reverse (8008) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 800 and 80000, that multiplied together give a 6-th power (64000000 = 20⁶).

The spelling of 80080000 in words is "eighty million, eighty thousand".