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768906816 = 2639774099
BaseRepresentation
bin101101110101001…
…001011001000000
31222120211111212020
4231311021121000
53033320004231
6204144201440
725024412556
oct5565113100
91876744766
10768906816
11365034087
12195609280
13c33b7462
1474193bd6
1547784396
hex2dd49640

768906816 has 56 divisors (see below), whose sum is σ = 2036978400. Its totient is φ = 255977472.

The previous prime is 768906811. The next prime is 768906823. The reversal of 768906816 is 618609867.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (768906811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185535 + ... + 189633.

Almost surely, 2768906816 is an apocalyptic number.

It is an amenable number.

768906816 is an abundant number, since it is smaller than the sum of its proper divisors (1268071584).

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

768906816 is a wasteful number, since it uses less digits than its factorization.

768906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 768906816 is about 27729.1690463310. The cubic root of 768906816 is about 916.1316846333.

The spelling of 768906816 in words is "seven hundred sixty-eight million, nine hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 977 1954 2931 3908 4099 5862 7816 8198 11724 12297 15632 16396 23448 24594 31264 32792 46896 49188 62528 65584 93792 98376 131168 187584 196752 262336 393504 787008 4004723 8009446 12014169 16018892 24028338 32037784 48056676 64075568 96113352 128151136 192226704 256302272 384453408 768906816