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770530080 = 25356012671
BaseRepresentation
bin101101111011010…
…101101100100000
31222200212222120010
4231323111230200
53034223430310
6204243044520
725044253245
oct5573255440
91880788503
10770530080
11365a42721
12196070740
13c3835278
14744975cc
15479a5320
hex2ded5b20

770530080 has 96 divisors (see below), whose sum is σ = 2432118528. Its totient is φ = 205056000.

The previous prime is 770530051. The next prime is 770530129. The reversal of 770530080 is 80035077.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287145 + ... + 289815.

It is an arithmetic number, because the mean of its divisors is an integer number (25334568).

Almost surely, 2770530080 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 770530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216059264).

770530080 is an abundant number, since it is smaller than the sum of its proper divisors (1661588448).

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

770530080 is a wasteful number, since it uses less digits than its factorization.

770530080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 770530080 is about 27758.4235863638. The cubic root of 770530080 is about 916.7759232124.

The spelling of 770530080 in words is "seven hundred seventy million, five hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 601 1202 1803 2404 2671 3005 3606 4808 5342 6010 7212 8013 9015 9616 10684 12020 13355 14424 16026 18030 19232 21368 24040 26710 28848 32052 36060 40065 42736 48080 53420 57696 64104 72120 80130 85472 96160 106840 128208 144240 160260 213680 256416 288480 320520 427360 641040 1282080 1605271 3210542 4815813 6421084 8026355 9631626 12842168 16052710 19263252 24079065 25684336 32105420 38526504 48158130 51368672 64210840 77053008 96316260 128421680 154106016 192632520 256843360 385265040 770530080