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768320 = 26574
BaseRepresentation
bin10111011100101000000
31110000221022
42323211000
5144041240
624245012
76350000
oct2734500
91400838
10768320
11485283
12310768
1320b937
14160000
151029b5
hexbb940

768320 has 70 divisors (see below), whose sum is σ = 2134362. Its totient is φ = 263424.

The previous prime is 768319. The next prime is 768323. The reversal of 768320 is 23867.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 153664 = 784^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (70).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 768320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768323) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 109757 + ... + 109763.

768320 is a Friedman number, since it can be written as 20*(8+6)^(7-3), using all its digits and the basic arithmetic operations.

2768320 is an apocalyptic number.

768320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067181).

768320 is an abundant number, since it is smaller than the sum of its proper divisors (1366042).

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

768320 is an frugal number, since it uses more digits than its factorization.

768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 768320 is about 876.5386471799. The cubic root of 768320 is about 91.5898566853.

The spelling of 768320 in words is "seven hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 343 392 448 490 560 686 784 980 1120 1372 1568 1715 1960 2240 2401 2744 3136 3430 3920 4802 5488 6860 7840 9604 10976 12005 13720 15680 19208 21952 24010 27440 38416 48020 54880 76832 96040 109760 153664 192080 384160 768320