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797120080 = 24511388177
BaseRepresentation
bin101111100000110…
…001011001010000
32001112220220011221
4233200301121100
53113030320310
6211033014424
725516260151
oct5740613120
92045826157
10797120080
11379a54129
121a2b54414
13c91b50b3
1477c19928
1549ea8ada
hex2f831650

797120080 has 40 divisors (see below), whose sum is σ = 1869726312. Its totient is φ = 316022784.

The previous prime is 797120063. The next prime is 797120083. The reversal of 797120080 is 80021797.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 794337856 = 1668^2 + 28184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797120083) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35049 + ... + 53128.

Almost surely, 2797120080 is an apocalyptic number.

It is an amenable number.

797120080 is an abundant number, since it is smaller than the sum of its proper divisors (1072606232).

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

797120080 is a wasteful number, since it uses less digits than its factorization.

797120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88303 (or 88297 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 797120080 is about 28233.3150728001. The cubic root of 797120080 is about 927.2024769633.

The spelling of 797120080 in words is "seven hundred ninety-seven million, one hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 88177 176354 352708 440885 705416 881770 1410832 1763540 3527080 7054160 9964001 19928002 39856004 49820005 79712008 99640010 159424016 199280020 398560040 797120080