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768612 = 223132379
BaseRepresentation
bin10111011101001100100
31110001100010
42323221210
5144043422
624250220
76350565
oct2735144
91401303
10768612
11485519
12310970
1320bb00
1416016c
15102b0c
hexbba64

768612 has 36 divisors (see below), whose sum is σ = 1947120. Its totient is φ = 235872.

The previous prime is 768589. The next prime is 768613. The reversal of 768612 is 216867.

It is a happy number.

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 768612.

It is not an unprimeable number, because it can be changed into a prime (768613) by changing a digit.

768612 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1839 + ... + 2217.

2768612 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 768612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973560).

768612 is an abundant number, since it is smaller than the sum of its proper divisors (1178508).

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

768612 is a wasteful number, since it uses less digits than its factorization.

768612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 768612 is about 876.7051956045. The cubic root of 768612 is about 91.6014581234.

The spelling of 768612 in words is "seven hundred sixty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 379 507 676 758 1014 1137 1516 2028 2274 4548 4927 9854 14781 19708 29562 59124 64051 128102 192153 256204 384306 768612