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77968818 = 2341973347
BaseRepresentation
bin1001010010110…
…11010110110010
312102201020010000
410221123112302
5124430000233
611423050430
71634503224
oct451332662
9172636100
1077968818
1140014144
1222140a16
13131cb9c5
14a4d8414
156ca1d13
hex4a5b5b2

77968818 has 80 divisors (see below), whose sum is σ = 186959520. Its totient is φ = 24214464.

The previous prime is 77968811. The next prime is 77968823. The reversal of 77968818 is 81886977.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77968811) 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, 224521 + ... + 224867.

It is an arithmetic number, because the mean of its divisors is an integer number (2336994).

Almost surely, 277968818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77968818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93479760).

77968818 is an abundant number, since it is smaller than the sum of its proper divisors (108990702).

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

77968818 is a wasteful number, since it uses less digits than its factorization.

77968818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 77968818 is about 8829.9953567372. The cubic root of 77968818 is about 427.2089246652.

The spelling of 77968818 in words is "seventy-seven million, nine hundred sixty-eight thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 73 81 114 146 162 171 219 342 347 438 513 657 694 1026 1041 1314 1387 1539 1971 2082 2774 3078 3123 3942 4161 5913 6246 6593 8322 9369 11826 12483 13186 18738 19779 24966 25331 28107 37449 39558 50662 56214 59337 74898 75993 112347 118674 151986 178011 224694 227979 356022 455958 481289 534033 683937 962578 1068066 1367874 1443867 2051811 2887734 4103622 4331601 8663202 12994803 25989606 38984409 77968818