Search a number
-
+
769726980 = 2232511259599
BaseRepresentation
bin101101111000010…
…001101000000100
31222122101011220200
4231320101220010
53034022230410
6204213530500
725034366661
oct5570215004
91878334820
10769726980
11365544300
12195943a30
13c3613869
1474328a68
15478973c0
hex2de11a04

769726980 has 216 divisors, whose sum is σ = 2614248000. Its totient is φ = 183131520.

The previous prime is 769726967. The next prime is 769726981. The reversal of 769726980 is 89627967.

It is not an unprimeable number, because it can be changed into a prime (769726981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1284721 + ... + 1285319.

It is an arithmetic number, because the mean of its divisors is an integer number (12103000).

Almost surely, 2769726980 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 769726980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307124000).

769726980 is an abundant number, since it is smaller than the sum of its proper divisors (1844521020).

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

769726980 is a wasteful number, since it uses less digits than its factorization.

769726980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 769726980 is about 27743.9539359479. The cubic root of 769726980 is about 916.4573032969.

The spelling of 769726980 in words is "seven hundred sixty-nine million, seven hundred twenty-six thousand, nine hundred eighty".