Search a number
-
+
796363920 = 24335113277
BaseRepresentation
bin101111011101111…
…000110010010000
32001111111110221000
4233131320302100
53112332121140
6211004502000
725506660462
oct5735706220
92044443830
10796363920
11379588000
121a284a900
13c8cabb71
1477aa0132
1549da9a30
hex2f778c90

796363920 has 320 divisors, whose sum is σ = 3028020480. Its totient is φ = 192360960.

The previous prime is 796363907. The next prime is 796363921. The reversal of 796363920 is 29363697.

796363920 is a `hidden beast` number, since 7 + 9 + 6 + 3 + 639 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (796363921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2874822 + ... + 2875098.

It is an arithmetic number, because the mean of its divisors is an integer number (9462564).

Almost surely, 2796363920 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 796363920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514010240).

796363920 is an abundant number, since it is smaller than the sum of its proper divisors (2231656560).

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

796363920 is a wasteful number, since it uses less digits than its factorization.

796363920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 796363920 is about 28219.9206235595. The cubic root of 796363920 is about 926.9091981734.

The spelling of 796363920 in words is "seven hundred ninety-six million, three hundred sixty-three thousand, nine hundred twenty".