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775968 = 25359137
BaseRepresentation
bin10111101011100100000
31110102102120
42331130200
5144312333
624344240
76411204
oct2753440
91412376
10775968
1148aaa6
12315080
1321226b
14162b04
15104db3
hexbd720

775968 has 48 divisors (see below), whose sum is σ = 2086560. Its totient is φ = 252416.

The previous prime is 775963. The next prime is 775987. The reversal of 775968 is 869577.

775968 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 (48).

It is not an unprimeable number, because it can be changed into a prime (775963) by changing a digit.

775968 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, 5596 + ... + 5732.

It is an arithmetic number, because the mean of its divisors is an integer number (43470).

2775968 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 775968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043280).

775968 is an abundant number, since it is smaller than the sum of its proper divisors (1310592).

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

775968 is a wasteful number, since it uses less digits than its factorization.

775968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 775968 is about 880.8904585702. The cubic root of 775968 is about 91.8927546788.

The spelling of 775968 in words is "seven hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 137 177 236 274 354 411 472 548 708 822 944 1096 1416 1644 1888 2192 2832 3288 4384 5664 6576 8083 13152 16166 24249 32332 48498 64664 96996 129328 193992 258656 387984 775968