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768680744 = 23137993559
BaseRepresentation
bin101101110100010…
…010001100101000
31222120102000202012
4231310102030220
53033240240434
6204135255052
725022451506
oct5564221450
91876360665
10768680744
1136499a247
1219551a488
13c33385a0
1474135676
154773c3ce
hex2dd12328

768680744 has 32 divisors (see below), whose sum is σ = 1571808000. Its totient is φ = 350281152.

The previous prime is 768680741. The next prime is 768680791. The reversal of 768680744 is 447086867.

It is a junction number, because it is equal to n+sod(n) for n = 768680692 and 768680701.

It is not an unprimeable number, because it can be changed into a prime (768680741) 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, 38564 + ... + 54995.

It is an arithmetic number, because the mean of its divisors is an integer number (49119000).

Almost surely, 2768680744 is an apocalyptic number.

It is an amenable number.

768680744 is an abundant number, since it is smaller than the sum of its proper divisors (803127256).

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

768680744 is a wasteful number, since it uses less digits than its factorization.

768680744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93657 (or 93653 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The square root of 768680744 is about 27725.0923172494. The cubic root of 768680744 is about 916.0418896069.

The spelling of 768680744 in words is "seven hundred sixty-eight million, six hundred eighty thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 2054 4108 8216 93559 187118 374236 748472 1216267 2432534 4865068 7391161 9730136 14782322 29564644 59129288 96085093 192170186 384340372 768680744