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796780768 = 2573229317
BaseRepresentation
bin101111011111011…
…110100011100000
32001112021122201211
4233133132203200
53112433441033
6211021435504
725513345000
oct5737364340
92045248654
10796780768
11379842203
121a2a0bb94
13c90c6814
1477b6c000
1549e3d2cd
hex2f7de8e0

796780768 has 96 divisors (see below), whose sum is σ = 1843128000. Its totient is φ = 338913792.

The previous prime is 796780763. The next prime is 796780793. The reversal of 796780768 is 867087697.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796780763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2513346 + ... + 2513662.

It is an arithmetic number, because the mean of its divisors is an integer number (19199250).

Almost surely, 2796780768 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 796780768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921564000).

796780768 is an abundant number, since it is smaller than the sum of its proper divisors (1046347232).

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

796780768 is a wasteful number, since it uses less digits than its factorization.

796780768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 58.

The square root of 796780768 is about 28227.3053620072. The cubic root of 796780768 is about 927.0708967971.

The spelling of 796780768 in words is "seven hundred ninety-six million, seven hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 229 317 343 392 458 634 686 784 916 1268 1372 1568 1603 1832 2219 2536 2744 3206 3664 4438 5072 5488 6412 7328 8876 10144 10976 11221 12824 15533 17752 22442 25648 31066 35504 44884 51296 62132 71008 72593 78547 89768 108731 124264 145186 157094 179536 217462 248528 290372 314188 359072 434924 497056 508151 580744 628376 869848 1016302 1161488 1256752 1739696 2032604 2322976 2513504 3479392 3557057 4065208 7114114 8130416 14228228 16260832 24899399 28456456 49798798 56912912 99597596 113825824 199195192 398390384 796780768