Search a number
-
+
780683904 = 273271113677
BaseRepresentation
bin101110100010000…
…100101010000000
32000101222211222200
4232202010222000
53044323341104
6205244433200
725226463240
oct5642045200
92011884880
10780683904
11370748410
12199548800
13c597bb50
147597bb20
154880db39
hex2e884a80

780683904 has 384 divisors, whose sum is σ = 3020734080. Its totient is φ = 186900480.

The previous prime is 780683903. The next prime is 780683947. The reversal of 780683904 is 409386087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 780683904.

It is not an unprimeable number, because it can be changed into a prime (780683903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152814 + ... + 1153490.

It is an arithmetic number, because the mean of its divisors is an integer number (7866495).

Almost surely, 2780683904 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 780683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510367040).

780683904 is an abundant number, since it is smaller than the sum of its proper divisors (2240050176).

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

780683904 is a wasteful number, since it uses less digits than its factorization.

780683904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 780683904 is about 27940.7212505332. The cubic root of 780683904 is about 920.7853659218.

The spelling of 780683904 in words is "seven hundred eighty million, six hundred eighty-three thousand, nine hundred four".