Search a number
-
+
799680960 = 263251323153
BaseRepresentation
bin101111101010100…
…010100111000000
32001201202000001100
4233222202213000
53114204242320
6211203534400
725550114241
oct5752424700
92051660040
10799680960
11380443161
121a398a400
13c98a0900
14782c4cc8
154a312790
hex2faa29c0

799680960 has 504 divisors, whose sum is σ = 3132514944. Its totient is φ = 186900480.

The previous prime is 799680953. The next prime is 799680977. The reversal of 799680960 is 69086997.

It is a junction number, because it is equal to n+sod(n) for n = 799680897 and 799680906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15088294 + ... + 15088346.

Almost surely, 2799680960 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 799680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566257472).

799680960 is an abundant number, since it is smaller than the sum of its proper divisors (2332833984).

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

799680960 is a wasteful number, since it uses less digits than its factorization.

799680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 799680960 is about 28278.6308013666. The cubic root of 799680960 is about 928.1943459392.

The spelling of 799680960 in words is "seven hundred ninety-nine million, six hundred eighty thousand, nine hundred sixty".