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76130780 = 225112163193
BaseRepresentation
bin1001000100110…
…10100111011100
312022020211210112
410202122213130
5123442141110
611315425152
71613046425
oct442324734
9168224715
1076130780
1139a79200
12215b51b8
1312a071cb
14a17a64c
156a3c405
hex489a9dc

76130780 has 72 divisors (see below), whose sum is σ = 177724176. Its totient is φ = 27371520.

The previous prime is 76130779. The next prime is 76130797. The reversal of 76130780 is 8703167.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394364 + ... + 394556.

Almost surely, 276130780 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 76130780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88862088).

76130780 is an abundant number, since it is smaller than the sum of its proper divisors (101593396).

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

76130780 is a wasteful number, since it uses less digits than its factorization.

76130780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 76130780 is about 8725.2954104718. The cubic root of 76130780 is about 423.8251845490.

The spelling of 76130780 in words is "seventy-six million, one hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 163 193 220 242 326 386 484 605 652 772 815 965 1210 1630 1793 1930 2123 2420 3260 3586 3860 4246 7172 8492 8965 10615 17930 19723 21230 23353 31459 35860 39446 42460 46706 62918 78892 93412 98615 116765 125836 157295 197230 233530 314590 346049 394460 467060 629180 692098 1384196 1730245 3460490 3806539 6920980 7613078 15226156 19032695 38065390 76130780