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776728080 = 243251078789
BaseRepresentation
bin101110010010111…
…110111000010000
32000010112212121200
4232102332320100
53042320244310
6205023551200
725151036232
oct5622767020
92003485550
10776728080
11369496337
1219815b500
13c4bc541b
147522c252
15482cb9c0
hex2e4bee10

776728080 has 60 divisors (see below), whose sum is σ = 2608514220. Its totient is φ = 207127296.

The previous prime is 776728061. The next prime is 776728081. The reversal of 776728080 is 80827677.

776728080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 364962816 + 411765264 = 19104^2 + 20292^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776728081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538675 + ... + 540114.

It is an arithmetic number, because the mean of its divisors is an integer number (43475237).

Almost surely, 2776728080 is an apocalyptic number.

It is an amenable number.

776728080 is an abundant number, since it is smaller than the sum of its proper divisors (1831786140).

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

776728080 is a wasteful number, since it uses less digits than its factorization.

776728080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078808 (or 1078799 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 776728080 is about 27869.8417648899. The cubic root of 776728080 is about 919.2274863562.

The spelling of 776728080 in words is "seven hundred seventy-six million, seven hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1078789 2157578 3236367 4315156 5393945 6472734 8630312 9709101 10787890 12945468 16181835 17260624 19418202 21575780 25890936 32363670 38836404 43151560 48545505 51781872 64727340 77672808 86303120 97091010 129454680 155345616 194182020 258909360 388364040 776728080