Search a number
-
+
768780064 = 25131848029
BaseRepresentation
bin101101110100101…
…010011100100000
31222120121001222201
4231310222130200
53033301430224
6204141342544
725023344203
oct5564523440
91876531881
10768780064
11364a57928
12195567a54
13c3371860
147415d93a
154775ba44
hex2dd2a720

768780064 has 24 divisors (see below), whose sum is σ = 1629962460. Its totient is φ = 354821376.

The previous prime is 768780029. The next prime is 768780073. The reversal of 768780064 is 460087867.

It can be written as a sum of positive squares in 2 ways, for example, as 706496400 + 62283664 = 26580^2 + 7892^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 768779996 and 768780023.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 923599 + ... + 924430.

Almost surely, 2768780064 is an apocalyptic number.

It is an amenable number.

768780064 is an abundant number, since it is smaller than the sum of its proper divisors (861182396).

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

768780064 is a wasteful number, since it uses less digits than its factorization.

768780064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848052 (or 1848044 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 768780064 is about 27726.8834166410. The cubic root of 768780064 is about 916.0813413398.

The spelling of 768780064 in words is "seven hundred sixty-eight million, seven hundred eighty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1848029 3696058 7392116 14784232 24024377 29568464 48048754 59136928 96097508 192195016 384390032 768780064