Search a number
-
+
80078080 = 28573857
BaseRepresentation
bin1001100010111…
…10010100000000
312120200101110211
410301132110000
5130444444310
611540203504
71661436535
oct461362400
9176611424
1080078080
1141224935
1222999594
1313789aa4
14a8c6d8c
15706bc8a
hex4c5e500

80078080 has 72 divisors (see below), whose sum is σ = 194666472. Its totient is φ = 31555584.

The previous prime is 80078021. The next prime is 80078081. The reversal of 80078080 is 8087008.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 53699584 = 5136^2 + 7328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80078081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93012 + ... + 93868.

It is an arithmetic number, because the mean of its divisors is an integer number (2703701).

Almost surely, 280078080 is an apocalyptic number.

80078080 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 80078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97333236).

80078080 is an abundant number, since it is smaller than the sum of its proper divisors (114588392).

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

80078080 is an equidigital number, since it uses as much as digits as its factorization.

80078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 80078080 is about 8948.6356501983. The cubic root of 80078080 is about 431.0270743091.

The spelling of 80078080 in words is "eighty million, seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 584 640 730 857 1168 1280 1460 1714 2336 2920 3428 4285 4672 5840 6856 8570 9344 11680 13712 17140 18688 23360 27424 34280 46720 54848 62561 68560 93440 109696 125122 137120 219392 250244 274240 312805 500488 548480 625610 1000976 1096960 1251220 2001952 2502440 4003904 5004880 8007808 10009760 16015616 20019520 40039040 80078080