Search a number
-
+
770467968 = 27322632543
BaseRepresentation
bin101101111011000…
…110100010000000
31222200202211100200
4231323012202000
53034214433333
6204241445200
725043604204
oct5573064200
91880684320
10770467968
113659aaa96
12196040800
13c3812c0a
147447cb04
1547991c13
hex2dec6880

770467968 has 96 divisors (see below), whose sum is σ = 2226407040. Its totient is φ = 255745536.

The previous prime is 770467939. The next prime is 770467991. The reversal of 770467968 is 869764077.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301705 + ... + 304247.

It is an arithmetic number, because the mean of its divisors is an integer number (23191740).

Almost surely, 2770467968 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 770467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113203520).

770467968 is an abundant number, since it is smaller than the sum of its proper divisors (1455939072).

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

770467968 is a wasteful number, since it uses less digits than its factorization.

770467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2811 counting only the distinct ones).

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

The square root of 770467968 is about 27757.3047682948. The cubic root of 770467968 is about 916.7512889518.

The spelling of 770467968 in words is "seven hundred seventy million, four hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 263 288 384 526 576 789 1052 1152 1578 2104 2367 2543 3156 4208 4734 5086 6312 7629 8416 9468 10172 12624 15258 16832 18936 20344 22887 25248 30516 33664 37872 40688 45774 50496 61032 75744 81376 91548 100992 122064 151488 162752 183096 244128 302976 325504 366192 488256 668809 732384 976512 1337618 1464768 2006427 2675236 2929536 4012854 5350472 6019281 8025708 10700944 12038562 16051416 21401888 24077124 32102832 42803776 48154248 64205664 85607552 96308496 128411328 192616992 256822656 385233984 770467968