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78125000 = 23510
BaseRepresentation
bin1001010100000…
…01011111001000
312110000011100112
410222001133020
5130000000000
611430253452
71636023452
oct452013710
9173004315
1078125000
1140110518
12221b7288
1313254b15
14a5392d2
156cd3235
hex4a817c8

78125000 has 44 divisors (see below), whose sum is σ = 183105465. Its totient is φ = 31250000.

The previous prime is 78124999. The next prime is 78125041. The reversal of 78125000 is 52187.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 44970436 + 33154564 = 6706^2 + 5758^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6250.

It is a super-2 number, since 2×781250002 = 12207031250000000, which contains 22 as substring.

It is an unprimeable number.

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 10 ways as a sum of consecutive naturals, for example, 15624998 + ... + 15625002.

Almost surely, 278125000 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 78125000

78125000 is an abundant number, since it is smaller than the sum of its proper divisors (104980465).

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

78125000 is an frugal number, since it uses more digits than its factorization.

78125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 78125000 is about 8838.8347648318. The cubic root of 78125000 is about 427.4939866692.

Adding to 78125000 its reverse (52187), we get a palindrome (78177187).

The spelling of 78125000 in words is "seventy-eight million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 15625 25000 31250 62500 78125 125000 156250 312500 390625 625000 781250 1562500 1953125 3125000 3906250 7812500 9765625 15625000 19531250 39062500 78125000