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766655064 = 233374183149
BaseRepresentation
bin101101101100100…
…011101001011000
31222102121010001000
4231230203221120
53032230430224
6204024025000
724666313650
oct5554435130
91872533030
10766655064
1136383632a
12194902160
13c2aa9566
1473b69360
154748c0c9
hex2db23a58

766655064 has 256 divisors, whose sum is σ = 2540160000. Its totient is φ = 209710080.

The previous prime is 766655063. The next prime is 766655077. The reversal of 766655064 is 460556667.

766655064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766655063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5145262 + ... + 5145410.

It is an arithmetic number, because the mean of its divisors is an integer number (9922500).

Almost surely, 2766655064 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 766655064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080000).

766655064 is an abundant number, since it is smaller than the sum of its proper divisors (1773504936).

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

766655064 is a wasteful number, since it uses less digits than its factorization.

766655064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 766655064 is about 27688.5366893955. The cubic root of 766655064 is about 915.2365096759.

The spelling of 766655064 in words is "seven hundred sixty-six million, six hundred fifty-five thousand, sixty-four".