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76000761 = 341797569
BaseRepresentation
bin1001000011110…
…10110111111001
312022000020110000
410201322313321
5123424011021
611312543213
71611665364
oct441726771
9168006400
1076000761
113999a551
1221551b09
131298cc85
14a1450db
156a13b26
hex487adf9

76000761 has 40 divisors (see below), whose sum is σ = 121663080. Its totient is φ = 47112192.

The previous prime is 76000759. The next prime is 76000787. The reversal of 76000761 is 16700067.

It can be written as a sum of positive squares in 4 ways, for example, as 8037225 + 67963536 = 2835^2 + 8244^2 .

It is not a de Polignac number, because 76000761 - 21 = 76000759 is a prime.

It is a super-2 number, since 2×760007612 = 11552231345158242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76000751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133285 + ... + 133853.

It is an arithmetic number, because the mean of its divisors is an integer number (3041577).

Almost surely, 276000761 is an apocalyptic number.

It is an amenable number.

76000761 is a deficient number, since it is larger than the sum of its proper divisors (45662319).

76000761 is a wasteful number, since it uses less digits than its factorization.

76000761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 76000761 is about 8717.8415333155. The cubic root of 76000761 is about 423.5837722198.

The spelling of 76000761 in words is "seventy-six million, seven hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 9 17 27 51 81 97 153 291 459 569 873 1377 1649 1707 2619 4947 5121 7857 9673 14841 15363 29019 44523 46089 55193 87057 133569 165579 261171 496737 783513 938281 1490211 2814843 4470633 8444529 25333587 76000761