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78008980 = 2257279601
BaseRepresentation
bin1001010011001…
…01001010010100
312102210021012111
410221211022110
5124432241410
611424000404
71635031300
oct451451224
9172707174
1078008980
1140041335
1222160104
131321407a
14a508d00
156cadb8a
hex4a65294

78008980 has 36 divisors (see below), whose sum is σ = 190567188. Its totient is φ = 26745600.

The previous prime is 78008977. The next prime is 78008981. The reversal of 78008980 is 8980087.

It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 70090384 = 2814^2 + 8372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78008981) 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 11 ways as a sum of consecutive naturals, for example, 38821 + ... + 40780.

It is an arithmetic number, because the mean of its divisors is an integer number (5293533).

Almost surely, 278008980 is an apocalyptic number.

78008980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78008980 is an abundant number, since it is smaller than the sum of its proper divisors (112558208).

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

78008980 is a wasteful number, since it uses less digits than its factorization.

78008980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79624 (or 79615 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 78008980 is about 8832.2692440844. The cubic root of 78008980 is about 427.2822643248.

The spelling of 78008980 in words is "seventy-eight million, eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 79601 159202 318404 398005 557207 796010 1114414 1592020 2228828 2786035 3900449 5572070 7800898 11144140 15601796 19502245 39004490 78008980