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796800704 = 2672716563
BaseRepresentation
bin101111011111100…
…011011011000000
32001112022200002012
4233133203123000
53112440110304
6211022112052
725513460060
oct5737433300
92045280065
10796800704
11379856187
121a2a1b628
13c910290b
1477b753a0
1549e4416e
hex2f7e36c0

796800704 has 56 divisors (see below), whose sum is σ = 1813974528. Its totient is φ = 340174080.

The previous prime is 796800647. The next prime is 796800709. The reversal of 796800704 is 407008697.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (796800709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118127 + ... + 124689.

Almost surely, 2796800704 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 796800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906987264).

796800704 is an abundant number, since it is smaller than the sum of its proper divisors (1017173824).

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

796800704 is a wasteful number, since it uses less digits than its factorization.

796800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 796800704 is about 28227.6584930454. The cubic root of 796800704 is about 927.0786287154.

The spelling of 796800704 in words is "seven hundred ninety-six million, eight hundred thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 271 448 542 1084 1897 2168 3794 4336 6563 7588 8672 13126 15176 17344 26252 30352 45941 52504 60704 91882 105008 121408 183764 210016 367528 420032 735056 1470112 1778573 2940224 3557146 7114292 12450011 14228584 24900022 28457168 49800044 56914336 99600088 113828672 199200176 398400352 796800704