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766770980 = 225374432339
BaseRepresentation
bin101101101100111…
…111111100100100
31222102211000001012
4231230333330210
53032243132410
6204030321352
725000305623
oct5554777444
91872730035
10766770980
11363905428
12194959258
13c2b1a251
1473b996ba
15474b1605
hex2db3ff24

766770980 has 48 divisors (see below), whose sum is σ = 1658180160. Its totient is φ = 297618048.

The previous prime is 766770937. The next prime is 766771001. The reversal of 766770980 is 89077667.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326651 + ... + 328989.

It is an arithmetic number, because the mean of its divisors is an integer number (34545420).

Almost surely, 2766770980 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 766770980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829090080).

766770980 is an abundant number, since it is smaller than the sum of its proper divisors (891409180).

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

766770980 is a wasteful number, since it uses less digits than its factorization.

766770980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 50.

The square root of 766770980 is about 27690.6298231008. The cubic root of 766770980 is about 915.2826343778.

The spelling of 766770980 in words is "seven hundred sixty-six million, seven hundred seventy thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 443 740 886 1772 2215 2339 4430 4678 8860 9356 11695 16391 23390 32782 46780 65564 81955 86543 163910 173086 327820 346172 432715 865430 1036177 1730860 2072354 4144708 5180885 10361770 20723540 38338549 76677098 153354196 191692745 383385490 766770980