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8080000 = 2754101
BaseRepresentation
bin11110110100101010000000
3120012111200021
4132310222000
54032030000
6445103224
7125451565
oct36645200
916174607
108080000
114619695
122857b14
13189b986
14110486c
15a9911a
hex7b4a80

8080000 has 80 divisors (see below), whose sum is σ = 20313810. Its totient is φ = 3200000.

The previous prime is 8079989. The next prime is 8080027. The reversal of 8080000 is 808.

It can be written as a sum of positive squares in 5 ways, for example, as 1236544 + 6843456 = 1112^2 + 2616^2 .

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

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 an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79950 + ... + 80050.

Almost surely, 28080000 is an apocalyptic number.

8080000 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 8080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10156905).

8080000 is an abundant number, since it is smaller than the sum of its proper divisors (12233810).

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

8080000 is an equidigital number, since it uses as much as digits as its factorization.

8080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

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

The square root of 8080000 is about 2842.5340807104. The cubic root of 8080000 is about 200.6644567084.

Adding to 8080000 its reverse (808), we get a palindrome (8080808).

Multiplying 8080000 by its reverse (808), we get a square (6528640000 = 808002).

8080000 divided by its reverse (808) gives a 4-th power (10000 = 104).

The spelling of 8080000 in words is "eight million, eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 160 200 202 250 320 400 404 500 505 625 640 800 808 1000 1010 1250 1600 1616 2000 2020 2500 2525 3200 3232 4000 4040 5000 5050 6464 8000 8080 10000 10100 12625 12928 16000 16160 20000 20200 25250 32320 40000 40400 50500 63125 64640 80000 80800 101000 126250 161600 202000 252500 323200 404000 505000 808000 1010000 1616000 2020000 4040000 8080000