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80074764 = 22337119629
BaseRepresentation
bin1001100010111…
…01100000001100
312120200012221000
410301131200030
5130444343024
611540140300
71661424060
oct461354014
9176605830
1080074764
11412223a0
1222997690
1313788423
14a8c5aa0
15706acc9
hex4c5d80c

80074764 has 96 divisors (see below), whose sum is σ = 258854400. Its totient is φ = 20796480.

The previous prime is 80074747. The next prime is 80074769. The reversal of 80074764 is 46747008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80074769) 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 31 ways as a sum of consecutive naturals, for example, 3502 + ... + 13130.

It is an arithmetic number, because the mean of its divisors is an integer number (2696400).

Almost surely, 280074764 is an apocalyptic number.

80074764 is a gapful number since it is divisible by the number (84) 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 80074764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129427200).

80074764 is an abundant number, since it is smaller than the sum of its proper divisors (178779636).

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

80074764 is a wasteful number, since it uses less digits than its factorization.

80074764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9660 (or 9652 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 80074764 is about 8948.4503686393. The cubic root of 80074764 is about 431.0211246763.

The spelling of 80074764 in words is "eighty million, seventy-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 9629 19258 28887 38516 57774 67403 86661 105919 115548 134806 173322 202209 211838 259983 269612 317757 346644 404418 423676 519966 606627 635514 741433 808836 953271 1039932 1213254 1271028 1482866 1819881 1906542 2224299 2426508 2859813 2965732 3639762 3813084 4448598 5719626 6672897 7279524 8897196 11439252 13345794 20018691 26691588 40037382 80074764