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770948064 = 25332921061
BaseRepresentation
bin101101111100111…
…011101111100000
31222201200012221000
4231330323233200
53034330314224
6204300032000
725050643665
oct5574735740
91881605830
10770948064
113661a8767
12196232600
13c39505b3
1474565a6c
1547a390c9
hex2df3bbe0

770948064 has 144 divisors (see below), whose sum is σ = 2331005040. Its totient is φ = 247887360.

The previous prime is 770948041. The next prime is 770948081. The reversal of 770948064 is 460849077.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726094 + ... + 727154.

It is an arithmetic number, because the mean of its divisors is an integer number (16187535).

Almost surely, 2770948064 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 770948064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165502520).

770948064 is an abundant number, since it is smaller than the sum of its proper divisors (1560056976).

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

770948064 is a wasteful number, since it uses less digits than its factorization.

770948064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 770948064 is about 27765.9515234036. The cubic root of 770948064 is about 916.9416655622.

It can be divided in two parts, 77094 and 8064, that added together give a palindrome (85158).

The spelling of 770948064 in words is "seven hundred seventy million, nine hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 841 864 928 1044 1061 1392 1566 1682 2088 2122 2523 2784 3132 3183 3364 4176 4244 5046 6264 6366 6728 7569 8352 8488 9549 10092 12528 12732 13456 15138 16976 19098 20184 22707 25056 25464 26912 28647 30276 30769 33952 38196 40368 45414 50928 57294 60552 61538 76392 80736 90828 92307 101856 114588 121104 123076 152784 181656 184614 229176 242208 246152 276921 305568 363312 369228 458352 492304 553842 726624 738456 830763 892301 916704 984608 1107684 1476912 1661526 1784602 2215368 2676903 2953824 3323052 3569204 4430736 5353806 6646104 7138408 8030709 8861472 10707612 13292208 14276816 16061418 21415224 24092127 26584416 28553632 32122836 42830448 48184254 64245672 85660896 96368508 128491344 192737016 256982688 385474032 770948064