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770026240 = 2853771229
BaseRepresentation
bin101101111001011…
…010101100000000
31222122221101102101
4231321122230000
53034111314430
6204224200144
725040054314
oct5571325400
91878841371
10770026240
11365729125
12195a69054
13c36b9b39
14743a5b44
1547905dca
hex2de5ab00

770026240 has 144 divisors (see below), whose sum is σ = 1929372480. Its totient is φ = 294174720.

The previous prime is 770026217. The next prime is 770026259. The reversal of 770026240 is 42620077.

It is a junction number, because it is equal to n+sod(n) for n = 770026199 and 770026208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3362446 + ... + 3362674.

It is an arithmetic number, because the mean of its divisors is an integer number (13398420).

Almost surely, 2770026240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964686240).

770026240 is an abundant number, since it is smaller than the sum of its proper divisors (1159346240).

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

770026240 is a wasteful number, since it uses less digits than its factorization.

770026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 770026240 is about 27749.3466589756. The cubic root of 770026240 is about 916.5760568656.

The spelling of 770026240 in words is "seven hundred seventy million, twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 71 74 80 128 142 148 160 185 229 256 284 296 320 355 370 458 568 592 640 710 740 916 1136 1145 1184 1280 1420 1480 1832 2272 2290 2368 2627 2840 2960 3664 4544 4580 4736 5254 5680 5920 7328 8473 9088 9160 9472 10508 11360 11840 13135 14656 16259 16946 18176 18320 21016 22720 23680 26270 29312 32518 33892 36640 42032 42365 45440 47360 52540 58624 65036 67784 73280 81295 84064 84730 90880 105080 130072 135568 146560 162590 168128 169460 210160 260144 271136 293120 325180 336256 338920 420320 520288 542272 601583 650360 672512 677840 840640 1040576 1084544 1203166 1300720 1355680 1681280 2081152 2169088 2406332 2601440 2711360 3007915 3362560 4162304 4812664 5202880 5422720 6015830 9625328 10405760 10845440 12031660 19250656 20811520 24063320 38501312 48126640 77002624 96253280 154005248 192506560 385013120 770026240