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775777068 = 2233111934369
BaseRepresentation
bin101110001111010…
…110101100101100
32000001202120002000
4232033112230230
53042044331233
6204551332300
725136665503
oct5617265454
92001676060
10775777068
113689a6880
12197981090
13c49515b1
147506183a
154818ed13
hex2e3d6b2c

775777068 has 96 divisors (see below), whose sum is σ = 2309664000. Its totient is φ = 222704640.

The previous prime is 775777043. The next prime is 775777069. The reversal of 775777068 is 860777577.

775777068 is a `hidden beast` number, since 7 + 7 + 577 + 7 + 0 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (775777069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5388 + ... + 39756.

It is an arithmetic number, because the mean of its divisors is an integer number (24059000).

Almost surely, 2775777068 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 775777068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154832000).

775777068 is an abundant number, since it is smaller than the sum of its proper divisors (1533886932).

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

775777068 is a wasteful number, since it uses less digits than its factorization.

775777068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34412 (or 34404 counting only the distinct ones).

The product of its (nonzero) digits is 4033680, while the sum is 54.

The square root of 775777068 is about 27852.7748707377. The cubic root of 775777068 is about 918.8521712280.

The spelling of 775777068 in words is "seven hundred seventy-five million, seven hundred seventy-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 1026 1188 1254 1881 2052 2508 3762 5643 7524 11286 22572 34369 68738 103107 137476 206214 309321 378059 412428 618642 653011 756118 927963 1134177 1237284 1306022 1512236 1855926 1959033 2268354 2612044 3402531 3711852 3918066 4536708 5877099 6805062 7183121 7836132 10207593 11754198 13610124 14366242 17631297 20415186 21549363 23508396 28732484 35262594 40830372 43098726 64648089 70525188 86197452 129296178 193944267 258592356 387888534 775777068