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781378000000 = 27561341733
BaseRepresentation
bin10110101111011011100…
…00100001010010000000
32202200212120120010100221
423113231300201102000
5100300230232000000
61354543214152424
7110311163261563
oct13275560412200
92680776503327
10781378000000
11281420568554
12107529ab2714
13588b6c19970
1429b670a64da
15154d352261a
hexb5edc21480

781378000000 has 448 divisors, whose sum is σ = 2149502954760. Its totient is φ = 281088000000.

The previous prime is 781377999989. The next prime is 781378000001. The reversal of 781378000000 is 873187.

It is a happy number.

It can be written as a sum of positive squares in 28 ways, for example, as 753049070656 + 28328929344 = 867784^2 + 168312^2 .

It is a sliding number, since 781378000000 = 128000000 + 781250000000 and 1/128000000 + 1/781250000000 = 0.00000000781378000000.

It is a super-2 number, since 2×7813780000002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 781378000000.

It is not an unprimeable number, because it can be changed into a prime (781378000001) 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 55 ways as a sum of consecutive naturals, for example, 1065999634 + ... + 1066000366.

Almost surely, 2781378000000 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 781378000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074751477380).

781378000000 is an abundant number, since it is smaller than the sum of its proper divisors (1368124954760).

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

781378000000 is an frugal number, since it uses more digits than its factorization.

781378000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

Adding to 781378000000 its reverse (873187), we get a palindrome (781378873187).

The spelling of 781378000000 in words is "seven hundred eighty-one billion, three hundred seventy-eight million", and thus it is an aban number.