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76768580 = 2257548347
BaseRepresentation
bin1001001001101…
…10010101000100
312100110020200202
410210312111010
5124123043310
611341230032
71621344050
oct444662504
9170406622
1076768580
113a374409
1221862318
1312b9b5c5
14a2a4c60
156b163a5
hex4936544

76768580 has 24 divisors (see below), whose sum is σ = 184244928. Its totient is φ = 26320608.

The previous prime is 76768553. The next prime is 76768589. The reversal of 76768580 is 8586767.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76768589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274034 + ... + 274313.

It is an arithmetic number, because the mean of its divisors is an integer number (7676872).

Almost surely, 276768580 is an apocalyptic number.

76768580 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76768580 is an abundant number, since it is smaller than the sum of its proper divisors (107476348).

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

76768580 is a wasteful number, since it uses less digits than its factorization.

76768580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548363 (or 548361 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The square root of 76768580 is about 8761.7680864081. The cubic root of 76768580 is about 425.0054532172.

The spelling of 76768580 in words is "seventy-six million, seven hundred sixty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 548347 1096694 2193388 2741735 3838429 5483470 7676858 10966940 15353716 19192145 38384290 76768580