Search a number
-
+
797215680 = 263251719857
BaseRepresentation
bin101111100001001…
…000101111000000
32001120002202022200
4233201020233000
53113041400210
6211035033200
725520135652
oct5741105700
92046082280
10797215680
1137a009a38
121a2b9b800
13c9219771
1477c426d2
1549ec70c0
hex2f848bc0

797215680 has 336 divisors, whose sum is σ = 3059765280. Its totient is φ = 189333504.

The previous prime is 797215633. The next prime is 797215687. The reversal of 797215680 is 86512797.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797215687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929812 + ... + 930668.

Almost surely, 2797215680 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 797215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529882640).

797215680 is an abundant number, since it is smaller than the sum of its proper divisors (2262549600).

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

797215680 is a wasteful number, since it uses less digits than its factorization.

797215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 797215680 is about 28235.0080573744. The cubic root of 797215680 is about 927.2395424844.

The spelling of 797215680 in words is "seven hundred ninety-seven million, two hundred fifteen thousand, six hundred eighty".