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770383968 = 253171034583
BaseRepresentation
bin101101111010110…
…010000001100000
31222200121120010120
4231322302001200
53034204241333
6204240000240
725043104254
oct5572620140
91880546116
10770383968
11365952972
12196000080
13c37b3903
147445a264
1547976db3
hex2deb2060

770383968 has 96 divisors (see below), whose sum is σ = 2162474496. Its totient is φ = 239290368.

The previous prime is 770383967. The next prime is 770383969. The reversal of 770383968 is 869383077.

It is an interprime number because it is at equal distance from previous prime (770383967) and next prime (770383969).

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 770383968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770383963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 165805 + ... + 170387.

It is an arithmetic number, because the mean of its divisors is an integer number (22525776).

Almost surely, 2770383968 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 770383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081237248).

770383968 is an abundant number, since it is smaller than the sum of its proper divisors (1392090528).

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

770383968 is a wasteful number, since it uses less digits than its factorization.

770383968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 770383968 is about 27755.7916118420. The cubic root of 770383968 is about 916.7179715784.

The spelling of 770383968 in words is "seven hundred seventy million, three hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 103 136 204 206 272 309 408 412 544 618 816 824 1236 1632 1648 1751 2472 3296 3502 4583 4944 5253 7004 9166 9888 10506 13749 14008 18332 21012 27498 28016 36664 42024 54996 56032 73328 77911 84048 109992 146656 155822 168096 219984 233733 311644 439968 467466 472049 623288 934932 944098 1246576 1416147 1869864 1888196 2493152 2832294 3739728 3776392 5664588 7479456 7552784 8024833 11329176 15105568 16049666 22658352 24074499 32099332 45316704 48148998 64198664 96297996 128397328 192595992 256794656 385191984 770383968