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770668960 = 2554816681
BaseRepresentation
bin101101111011110…
…111100110100000
31222201011001001211
4231323313212200
53034242401320
6204250035504
725045402165
oct5573674640
91881131054
10770668960
11366027aa6
12196118b94
13c3883549
14744d206c
15479d155a
hex2def79a0

770668960 has 24 divisors (see below), whose sum is σ = 1820705796. Its totient is φ = 308267520.

The previous prime is 770668949. The next prime is 770668961. The reversal of 770668960 is 69866077.

It can be written as a sum of positive squares in 2 ways, for example, as 641710224 + 128958736 = 25332^2 + 11356^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (770668961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2408181 + ... + 2408500.

Almost surely, 2770668960 is an apocalyptic number.

It is an amenable number.

770668960 is an abundant number, since it is smaller than the sum of its proper divisors (1050036836).

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

770668960 is a wasteful number, since it uses less digits than its factorization.

770668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816696 (or 4816688 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 770668960 is about 27760.9250566331. The cubic root of 770668960 is about 916.8309996655.

The spelling of 770668960 in words is "seven hundred seventy million, six hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4816681 9633362 19266724 24083405 38533448 48166810 77066896 96333620 154133792 192667240 385334480 770668960