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760808064 = 27315113121
BaseRepresentation
bin101101010110010…
…000001010000000
31222000121001110110
4231112100022000
53024231324224
6203254431320
724565522212
oct5526201200
91860531413
10760808064
113605023a5
12192962540
13c18100b3
14730865b2
1546bd4929
hex2d590280

760808064 has 64 divisors (see below), whose sum is σ = 2034434880. Its totient is φ = 251904000.

The previous prime is 760808063. The next prime is 760808071. The reversal of 760808064 is 460808067.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (760808063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51424 + ... + 64544.

It is an arithmetic number, because the mean of its divisors is an integer number (31788045).

Almost surely, 2760808064 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 760808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017217440).

760808064 is an abundant number, since it is smaller than the sum of its proper divisors (1273626816).

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

760808064 is a wasteful number, since it uses less digits than its factorization.

760808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13289 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 760808064 is about 27582.7493916034. The cubic root of 760808064 is about 912.9038438634.

The spelling of 760808064 in words is "seven hundred sixty million, eight hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 1208 1812 2416 3624 4832 7248 9664 13121 14496 19328 26242 28992 39363 52484 57984 78726 104968 157452 209936 314904 419872 629808 839744 1259616 1679488 1981271 2519232 3962542 5038464 5943813 7925084 11887626 15850168 23775252 31700336 47550504 63400672 95101008 126801344 190202016 253602688 380404032 760808064