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766720801 = 71123432931
BaseRepresentation
bin101101101100110…
…011101100100001
31222102201110012201
4231230303230201
53032240031201
6204025253201
725000006420
oct5554635441
91872643181
10766720801
11363880760
12194934201
13c2b00462
1473b852b7
15474a1801
hex2db33b21

766720801 has 16 divisors (see below), whose sum is σ = 997475328. Its totient is φ = 571467600.

The previous prime is 766720783. The next prime is 766720837. The reversal of 766720801 is 108027667.

It is a happy number.

It is not a de Polignac number, because 766720801 - 27 = 766720673 is a prime.

It is a super-3 number, since 3×7667208013 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (766720001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214695 + ... + 218236.

It is an arithmetic number, because the mean of its divisors is an integer number (62342208).

Almost surely, 2766720801 is an apocalyptic number.

It is an amenable number.

766720801 is a deficient number, since it is larger than the sum of its proper divisors (230754527).

766720801 is a wasteful number, since it uses less digits than its factorization.

766720801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432972.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 766720801 is about 27689.7237436562. The cubic root of 766720801 is about 915.2626679774.

The spelling of 766720801 in words is "seven hundred sixty-six million, seven hundred twenty thousand, eight hundred one".

Divisors: 1 7 11 23 77 161 253 1771 432931 3030517 4762241 9957413 33335687 69701891 109531543 766720801