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77949780 = 223519101677
BaseRepresentation
bin1001010010101…
…10101101010100
312102200020222220
410221112231110
5124423343110
611422422340
71634363556
oct451265524
9172606886
1077949780
1140000907
12221319b0
13131c313c
14a4d14d6
156c9b370
hex4a56b54

77949780 has 96 divisors (see below), whose sum is σ = 232364160. Its totient is φ = 19468800.

The previous prime is 77949769. The next prime is 77949791. The reversal of 77949780 is 8794977.

It is an interprime number because it is at equal distance from previous prime (77949769) and next prime (77949791).

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 31 ways as a sum of consecutive naturals, for example, 114802 + ... + 115478.

It is an arithmetic number, because the mean of its divisors is an integer number (2420460).

Almost surely, 277949780 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 77949780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116182080).

77949780 is an abundant number, since it is smaller than the sum of its proper divisors (154414380).

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

77949780 is a wasteful number, since it uses less digits than its factorization.

77949780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The square root of 77949780 is about 8828.9172609103. The cubic root of 77949780 is about 427.1741506544.

The spelling of 77949780 in words is "seventy-seven million, nine hundred forty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 101 114 190 202 228 285 303 380 404 505 570 606 677 1010 1140 1212 1354 1515 1919 2020 2031 2708 3030 3385 3838 4062 5757 6060 6770 7676 8124 9595 10155 11514 12863 13540 19190 20310 23028 25726 28785 38380 38589 40620 51452 57570 64315 68377 77178 115140 128630 136754 154356 192945 205131 257260 273508 341885 385890 410262 683770 771780 820524 1025655 1299163 1367540 2051310 2598326 3897489 4102620 5196652 6495815 7794978 12991630 15589956 19487445 25983260 38974890 77949780