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797768064 = 27322330109
BaseRepresentation
bin101111100011001…
…111100110000000
32001121010211001100
4233203033212000
53113212034224
6211054534400
725524626262
oct5743174600
92047124040
10797768064
1137a356a55
121a3207400
13c9381012
1477d47b32
154a085ac9
hex2f8cf980

797768064 has 96 divisors (see below), whose sum is σ = 2395551600. Its totient is φ = 254352384.

The previous prime is 797768003. The next prime is 797768071. The reversal of 797768064 is 460867797.

797768064 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 (96).

It is a self number, because there is not a number n which added to its sum of digits gives 797768064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11442 + ... + 41550.

Almost surely, 2797768064 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 797768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197775800).

797768064 is an abundant number, since it is smaller than the sum of its proper divisors (1597783536).

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

797768064 is a wasteful number, since it uses less digits than its factorization.

797768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30152 (or 30137 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 797768064 is about 28244.7882626158. The cubic root of 797768064 is about 927.4536518519.

The spelling of 797768064 in words is "seven hundred ninety-seven million, seven hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 30109 60218 90327 120436 180654 240872 270981 361308 481744 541962 692507 722616 963488 1083924 1385014 1445232 1926976 2077521 2167848 2770028 2890464 3853952 4155042 4335696 5540056 5780928 6232563 8310084 8671392 11080112 11561856 12465126 16620168 17342784 22160224 24930252 33240336 34685568 44320448 49860504 66480672 88640896 99721008 132961344 199442016 265922688 398884032 797768064