796261536 has 288 divisors, whose sum is σ = 2762605440. Its totient is φ = 218557440.

The previous prime is 796261489. The next prime is 796261537. The reversal of 796261536 is 635162697.

796261536 is a `hidden beast` number, since 7 + 9 + 626 + 15 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (408240) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 796261491 and 796261500.

It is not an unprimeable number, because it can be changed into a prime (796261537) 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, 5812060 + ... + 5812196.

It is an arithmetic number, because the mean of its divisors is an integer number (9592380).

Almost surely, 2^796261536 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 796261536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381302720).

796261536 is an abundant number, since it is smaller than the sum of its proper divisors (1966343904).

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

796261536 is a wasteful number, since it uses less digits than its factorization.

796261536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 180 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 796261536 is about 28218.1065275472. The cubic root of 796261536 is about 926.8694739819.

The spelling of 796261536 in words is "seven hundred ninety-six million, two hundred sixty-one thousand, five hundred thirty-six".