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78073801 = 1371251337
BaseRepresentation
bin1001010011101…
…00111111001001
312102220120010021
410221310333021
5124441330201
611425220441
71635421261
oct451647711
9172816107
1078073801
1140086003
1222191721
1313237720
14a5247a1
156cc2ea1
hex4a74fc9

78073801 has 16 divisors (see below), whose sum is σ = 85857408. Its totient is φ = 70560000.

The previous prime is 78073789. The next prime is 78073813. The reversal of 78073801 is 10837087.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78073789) and next prime (78073813).

It is a 3-Lehmer number, since φ(78073801) divides (78073801-1)3.

It is a cyclic number.

It is not a de Polignac number, because 78073801 - 25 = 78073769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (78073871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231505 + ... + 231841.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088).

It is a Poulet number, since it divides 278073800-1.

Almost surely, 278073801 is an apocalyptic number.

78073801 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

78073801 is a deficient number, since it is larger than the sum of its proper divisors (7783607).

78073801 is a wasteful number, since it uses less digits than its factorization.

78073801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 78073801 is about 8835.9380373563. The cubic root of 78073801 is about 427.4005805993.

The spelling of 78073801 in words is "seventy-eight million, seventy-three thousand, eight hundred one".

Divisors: 1 13 71 251 337 923 3263 4381 17821 23927 84587 231673 311051 1099631 6005677 78073801