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770883264 = 2633795647
BaseRepresentation
bin101101111100101…
…011111011000000
31222201112221001000
4231330223323000
53034321231024
6204254412000
725050254034
oct5574537300
91881487030
10770883264
11366164008
12196201000
13c3929c58
147454a1c4
1547a24cc9
hex2df2bec0

770883264 has 112 divisors (see below), whose sum is σ = 2295347200. Its totient is φ = 253663488.

The previous prime is 770883263. The next prime is 770883277. The reversal of 770883264 is 462388077.

It is a happy number.

It is a super-2 number, since 2×7708832642 = 1188522013430587392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (770883263) 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 15 ways as a sum of consecutive naturals, for example, 133689 + ... + 139335.

Almost surely, 2770883264 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 770883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147673600).

770883264 is an abundant number, since it is smaller than the sum of its proper divisors (1524463936).

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

770883264 is a wasteful number, since it uses less digits than its factorization.

770883264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 770883264 is about 27764.7846020818. The cubic root of 770883264 is about 916.9159744737.

The spelling of 770883264 in words is "seven hundred seventy million, eight hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1264 1422 1728 1896 2133 2528 2844 3792 4266 5056 5647 5688 7584 8532 11294 11376 15168 16941 17064 22588 22752 33882 34128 45176 45504 50823 67764 68256 90352 101646 135528 136512 152469 180704 203292 271056 304938 361408 406584 446113 542112 609876 813168 892226 1084224 1219752 1338339 1626336 1784452 2439504 2676678 3252672 3568904 4015017 4879008 5353356 7137808 8030034 9758016 10706712 12045051 14275616 16060068 21413424 24090102 28551232 32120136 42826848 48180204 64240272 85653696 96360408 128480544 192720816 256961088 385441632 770883264