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801120800 = 25521001401
BaseRepresentation
bin101111110000000…
…010001000100000
32001211110011010202
4233300002020200
53120041331200
6211254444332
725565262104
oct5760021040
92054404122
10801120800
11381236a07
121a43636a8
13c9c8609c
147857b904
154a4e91d5
hex2fc02220

801120800 has 36 divisors (see below), whose sum is σ = 1955738106. Its totient is φ = 320448000.

The previous prime is 801120799. The next prime is 801120823. The reversal of 801120800 is 8021108.

It can be written as a sum of positive squares in 3 ways, for example, as 348792976 + 452327824 = 18676^2 + 21268^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 499901 + ... + 501500.

Almost surely, 2801120800 is an apocalyptic number.

801120800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801120800 is an abundant number, since it is smaller than the sum of its proper divisors (1154617306).

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

801120800 is a wasteful number, since it uses less digits than its factorization.

801120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001421 (or 1001408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 801120800 is about 28304.0774447782. The cubic root of 801120800 is about 928.7510888212.

Adding to 801120800 its reverse (8021108), we get a palindrome (809141908).

The spelling of 801120800 in words is "eight hundred one million, one hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1001401 2002802 4005604 5007005 8011208 10014010 16022416 20028020 25035025 32044832 40056040 50070050 80112080 100140100 160224160 200280200 400560400 801120800