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76725780 = 223512710069
BaseRepresentation
bin1001001001010…
…11111000010100
312100101001222120
410210223320110
5124120211110
611340255540
71621105215
oct444537024
9170331876
1076725780
113a34523a
12218415b0
1312b84c91
14a29340c
156b08870
hex492be14

76725780 has 48 divisors (see below), whose sum is σ = 216545280. Its totient is φ = 20297088.

The previous prime is 76725731. The next prime is 76725797. The reversal of 76725780 is 8752767.

It is a super-3 number, since 3×767257803 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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, 2586 + ... + 12654.

It is an arithmetic number, because the mean of its divisors is an integer number (4511360).

Almost surely, 276725780 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 76725780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108272640).

76725780 is an abundant number, since it is smaller than the sum of its proper divisors (139819500).

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

76725780 is a wasteful number, since it uses less digits than its factorization.

76725780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10208 (or 10206 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 76725780 is about 8759.3253164841. The cubic root of 76725780 is about 424.9264555556.

The spelling of 76725780 in words is "seventy-six million, seven hundred twenty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 10069 20138 30207 40276 50345 60414 100690 120828 151035 201380 302070 604140 1278763 2557526 3836289 5115052 6393815 7672578 12787630 15345156 19181445 25575260 38362890 76725780