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801720480 = 253511151841
BaseRepresentation
bin101111110010010…
…100100010100000
32001212120121202010
4233302110202200
53120220023410
6211315352520
725603340331
oct5762244240
92055517663
10801720480
11381606510
121a45b2740
13ca136022
1478696288
154a5b6c20
hex2fc948a0

801720480 has 96 divisors (see below), whose sum is σ = 2755021248. Its totient is φ = 194355200.

The previous prime is 801720473. The next prime is 801720487. The reversal of 801720480 is 84027108.

It is an interprime number because it is at equal distance from previous prime (801720473) and next prime (801720487).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (801720487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70641 + ... + 81200.

It is an arithmetic number, because the mean of its divisors is an integer number (28698138).

Almost surely, 2801720480 is an apocalyptic number.

801720480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801720480 is an abundant number, since it is smaller than the sum of its proper divisors (1953300768).

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

801720480 is a wasteful number, since it uses less digits than its factorization.

801720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151870 (or 151862 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 801720480 is about 28314.6689897657. The cubic root of 801720480 is about 928.9827702943.

Adding to 801720480 its reverse (84027108), we get a palindrome (885747588).

The spelling of 801720480 in words is "eight hundred one million, seven hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 151841 303682 455523 607364 759205 911046 1214728 1518410 1670251 1822092 2277615 2429456 3036820 3340502 3644184 4555230 4858912 5010753 6073640 6681004 7288368 8351255 9110460 10021506 12147280 13362008 14576736 16702510 18220920 20043012 24294560 25053765 26724016 33405020 36441840 40086024 50107530 53448032 66810040 72883680 80172048 100215060 133620080 160344096 200430120 267240160 400860240 801720480