Search a number
-
+
776064 = 2734347
BaseRepresentation
bin10111101011110000000
31110102120010
42331132000
5144313224
624344520
76411402
oct2753600
91412503
10776064
11490083
12315140
13212313
14162b72
15104e29
hexbd780

776064 has 64 divisors (see below), whose sum is σ = 2154240. Its totient is φ = 247296.

The previous prime is 776059. The next prime is 776077. The reversal of 776064 is 460677.

776064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

776064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16489 + ... + 16535.

It is an arithmetic number, because the mean of its divisors is an integer number (33660).

2776064 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 776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077120).

776064 is an abundant number, since it is smaller than the sum of its proper divisors (1378176).

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

776064 is a wasteful number, since it uses less digits than its factorization.

776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 776064 is about 880.9449472016. The cubic root of 776064 is about 91.8965440707.

The spelling of 776064 in words is "seven hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 47 48 64 86 94 96 128 129 141 172 188 192 258 282 344 376 384 516 564 688 752 1032 1128 1376 1504 2021 2064 2256 2752 3008 4042 4128 4512 5504 6016 6063 8084 8256 9024 12126 16168 16512 18048 24252 32336 48504 64672 97008 129344 194016 258688 388032 776064