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78000080 = 2451783691
BaseRepresentation
bin1001010011000…
…10111111010000
312102202210222212
410221202333100
5124432000310
611423451252
71634663324
oct451427720
9172683885
1078000080
1140035684
1222156b28
131320ccc2
14a505984
156cab205
hex4a62fd0

78000080 has 80 divisors (see below), whose sum is σ = 194612544. Its totient is φ = 28968960.

The previous prime is 78000071. The next prime is 78000089. The reversal of 78000080 is 8000087.

It is an interprime number because it is at equal distance from previous prime (78000071) and next prime (78000089).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78000089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 112535 + ... + 113225.

Almost surely, 278000080 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 78000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97306272).

78000080 is an abundant number, since it is smaller than the sum of its proper divisors (116612464).

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

78000080 is a wasteful number, since it uses less digits than its factorization.

78000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 78000080 is about 8831.7653954348. The cubic root of 78000080 is about 427.2660142435.

The spelling of 78000080 in words is "seventy-eight million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 83 85 136 166 170 272 332 340 415 664 680 691 830 1328 1360 1382 1411 1660 2764 2822 3320 3455 5528 5644 6640 6910 7055 11056 11288 11747 13820 14110 22576 23494 27640 28220 46988 55280 56440 57353 58735 93976 112880 114706 117470 187952 229412 234940 286765 458824 469880 573530 917648 939760 975001 1147060 1950002 2294120 3900004 4588240 4875005 7800008 9750010 15600016 19500020 39000040 78000080