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772803990 = 23457219471
BaseRepresentation
bin101110000100000…
…000110110010110
31222212011111210000
4232010000312112
53040314211430
6204403512130
725102503600
oct5604006626
91885144700
10772803990
11367256092
12196988646
13c415028a
14748ca170
1547ca3e60
hex2e100d96

772803990 has 120 divisors (see below), whose sum is σ = 2417370912. Its totient is φ = 176631840.

The previous prime is 772803961. The next prime is 772804001. The reversal of 772803990 is 99308277.

It is a super-3 number, since 3×7728039903 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29955 + ... + 49425.

Almost surely, 2772803990 is an apocalyptic number.

772803990 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 772803990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208685456).

772803990 is an abundant number, since it is smaller than the sum of its proper divisors (1644566922).

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

772803990 is a wasteful number, since it uses less digits than its factorization.

772803990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19504 (or 19488 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 772803990 is about 27799.3523305850. The cubic root of 772803990 is about 917.6768694849.

The spelling of 772803990 in words is "seven hundred seventy-two million, eight hundred three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 13230 19471 19845 38942 39690 58413 97355 116826 136297 175239 194710 272594 292065 350478 408891 525717 584130 681485 817782 876195 954079 1051434 1226673 1362970 1577151 1752390 1908158 2044455 2453346 2628585 2862237 3154302 3680019 4088910 4770395 5257170 5724474 6133365 7360038 7885755 8586711 9540790 11040057 12266730 14311185 15771510 17173422 18400095 22080114 25760133 28622370 36800190 42933555 51520266 55200285 77280399 85867110 110400570 128800665 154560798 257601330 386401995 772803990