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8077125 = 353717181
BaseRepresentation
bin11110110011111101000101
3120012100201210
4132303331011
54031432000
6445042033
7125440320
oct36637505
916170653
108077125
114617511
122856319
13189a584
1411037b7
15a98350
hex7b3f45

8077125 has 64 divisors (see below), whose sum is σ = 16353792. Its totient is φ = 3456000.

The previous prime is 8077079. The next prime is 8077129. The reversal of 8077125 is 5217708.

It is a happy number.

It is not a de Polignac number, because 8077125 - 213 = 8068933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8077092 and 8077101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8077129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44535 + ... + 44715.

It is an arithmetic number, because the mean of its divisors is an integer number (255528).

Almost surely, 28077125 is an apocalyptic number.

8077125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8077125 is an abundant number, since it is smaller than the sum of its proper divisors (8276667).

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

8077125 is a wasteful number, since it uses less digits than its factorization.

8077125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 8077125 is about 2842.0283249820. The cubic root of 8077125 is about 200.6406539546.

The spelling of 8077125 in words is "eight million, seventy-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 125 175 181 255 357 375 425 525 543 595 875 905 1267 1275 1785 2125 2625 2715 2975 3077 3801 4525 6335 6375 8925 9231 13575 14875 15385 19005 21539 22625 31675 44625 46155 64617 67875 76925 95025 107695 158375 230775 323085 384625 475125 538475 1153875 1615425 2692375 8077125