Search a number
-
+
800800080 = 24356749801
BaseRepresentation
bin101111101110110…
…011110101010000
32001210211212012020
4233232303311100
53120001100310
6211243531440
725562455053
oct5756636520
92053755166
10800800080
11381037a53
121a4229b80
13c9ba3102
14784d6a9a
154a484170
hex2fbb3d50

800800080 has 80 divisors (see below), whose sum is σ = 2519582784. Its totient is φ = 210355200.

The previous prime is 800800073. The next prime is 800800081. The reversal of 800800080 is 80008008.

It is a happy number.

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 (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 800800080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800800081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8821 + ... + 40980.

Almost surely, 2800800080 is an apocalyptic number.

800800080 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 800800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259791392).

800800080 is an abundant number, since it is smaller than the sum of its proper divisors (1718782704).

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

800800080 is a wasteful number, since it uses less digits than its factorization.

800800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49884 (or 49878 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 800800080 is about 28298.4112628253. The cubic root of 800800080 is about 928.6271338123.

Adding to 800800080 its reverse (80008008), we get a palindrome (880808088).

The spelling of 800800080 in words is "eight hundred million, eight hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 49801 99602 149403 199204 249005 298806 398408 498010 597612 747015 796816 996020 1195224 1494030 1992040 2390448 2988060 3336667 3984080 5976120 6673334 10010001 11952240 13346668 16683335 20020002 26693336 33366670 40040004 50050005 53386672 66733340 80080008 100100010 133466680 160160016 200200020 266933360 400400040 800800080