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797720 = 235721137
BaseRepresentation
bin11000010110000011000
31111112021012
43002300120
5201011340
625033052
76531500
oct3026030
91445235
10797720
114a5380
12325788
1321c131
1416aa00
1510b565
hexc2c18

797720 has 96 divisors (see below), whose sum is σ = 2339280. Its totient is φ = 241920.

The previous prime is 797711. The next prime is 797729. The reversal of 797720 is 27797.

797720 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (797711) and next prime (797729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797729) by changing a digit.

797720 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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21542 + ... + 21578.

2797720 is an apocalyptic number.

797720 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 797720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169640).

797720 is an abundant number, since it is smaller than the sum of its proper divisors (1541560).

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

797720 is a wasteful number, since it uses less digits than its factorization.

797720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 32.

The square root of 797720 is about 893.1517228332. The cubic root of 797720 is about 92.7435025708.

It can be divided in two parts, 7977 and 20, that added together give a palindrome (7997).

The spelling of 797720 in words is "seven hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 37 40 44 49 55 56 70 74 77 88 98 110 140 148 154 185 196 220 245 259 280 296 308 370 385 392 407 440 490 518 539 616 740 770 814 980 1036 1078 1295 1480 1540 1628 1813 1960 2035 2072 2156 2590 2695 2849 3080 3256 3626 4070 4312 5180 5390 5698 7252 8140 9065 10360 10780 11396 14245 14504 16280 18130 19943 21560 22792 28490 36260 39886 56980 72520 79772 99715 113960 159544 199430 398860 797720