Search a number
-
+
80778720 = 25351115299
BaseRepresentation
bin1001101000010…
…01010111100000
312121222222120110
410310021113200
5131134404340
612003211320
72000415321
oct464112740
9177888513
1080778720
1141663280
1223076b40
1313973979
14aa2a448
157159680
hex4d095e0

80778720 has 96 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 19581440.

The previous prime is 80778707. The next prime is 80778721. The reversal of 80778720 is 2787708.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80778721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2370 + ... + 12929.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 280778720 is an apocalyptic number.

80778720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80778720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

80778720 is an abundant number, since it is smaller than the sum of its proper divisors (196824480).

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

80778720 is a wasteful number, since it uses less digits than its factorization.

80778720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328 (or 15320 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

The square root of 80778720 is about 8987.6982592875. The cubic root of 80778720 is about 432.2805105464.

The spelling of 80778720 in words is "eighty million, seven hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 15299 30598 45897 61196 76495 91794 122392 152990 168289 183588 229485 244784 305980 336578 367176 458970 489568 504867 611960 673156 734352 841445 917940 1009734 1223920 1346312 1468704 1682890 1835880 2019468 2447840 2524335 2692624 3365780 3671760 4038936 5048670 5385248 6731560 7343520 8077872 10097340 13463120 16155744 20194680 26926240 40389360 80778720