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77740764 = 223291271759
BaseRepresentation
bin1001010001000…
…11101011011100
312102021122021120
410220203223130
5124400201024
611414130540
71632533313
oct450435334
9172248246
1077740764
113a978872
1222050a50
131314bc6a
14a47927a
156c59479
hex4a23adc

77740764 has 48 divisors (see below), whose sum is σ = 189235200. Its totient is φ = 24808896.

The previous prime is 77740757. The next prime is 77740783. The reversal of 77740764 is 46704777.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43317 + ... + 45075.

It is an arithmetic number, because the mean of its divisors is an integer number (3942400).

Almost surely, 277740764 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 77740764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94617600).

77740764 is an abundant number, since it is smaller than the sum of its proper divisors (111494436).

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

77740764 is a wasteful number, since it uses less digits than its factorization.

77740764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The square root of 77740764 is about 8817.0723032081. The cubic root of 77740764 is about 426.7919979574.

The spelling of 77740764 in words is "seventy-seven million, seven hundred forty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 127 174 254 348 381 508 762 1524 1759 3518 3683 5277 7036 7366 10554 11049 14732 21108 22098 44196 51011 102022 153033 204044 223393 306066 446786 612132 670179 893572 1340358 2680716 6478397 12956794 19435191 25913588 38870382 77740764