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800707420880 = 24529283143387
BaseRepresentation
bin10111010011011011110…
…00011010001011010000
32211112202200021102222222
423221231320122023100
5101104322044432010
61411501230520212
7111564163531403
oct13515570321320
92745680242888
10800707420880
1128963a512554
1210b223366068
135a6776b6703
142aa7c2b1d3a
1515c6547d355
hexba6de1a2d0

800707420880 has 120 divisors (see below), whose sum is σ = 1951296171552. Its totient is φ = 305510829568.

The previous prime is 800707420879. The next prime is 800707420889. The reversal of 800707420880 is 88024707008.

It is a happy number.

800707420880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8007074208802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800707420889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5512547 + ... + 5655933.

Almost surely, 2800707420880 is an apocalyptic number.

800707420880 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 800707420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975648085776).

800707420880 is an abundant number, since it is smaller than the sum of its proper divisors (1150588750672).

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

800707420880 is a wasteful number, since it uses less digits than its factorization.

800707420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143541 (or 143506 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 44.

The spelling of 800707420880 in words is "eight hundred billion, seven hundred seven million, four hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 83 116 145 166 232 290 332 415 464 580 664 830 841 1160 1328 1660 1682 2320 2407 3320 3364 4205 4814 6640 6728 8410 9628 12035 13456 16820 19256 24070 33640 38512 48140 67280 69803 96280 139606 143387 192560 279212 286774 349015 558424 573548 698030 716935 1116848 1147096 1396060 1433870 2294192 2792120 2867740 4158223 5584240 5735480 8316446 11470960 11901121 16632892 20791115 23802242 33265784 41582230 47604484 59505605 66531568 83164460 95208968 119011210 120588467 166328920 190417936 238022420 241176934 332657840 345132509 476044840 482353868 602942335 690265018 952089680 964707736 1205884670 1380530036 1725662545 1929415472 2411769340 2761060072 3451325090 4823538680 5522120144 6902650180 9647077360 10008842761 13805300360 20017685522 27610600720 40035371044 50044213805 80070742088 100088427610 160141484176 200176855220 400353710440 800707420880