796588369920 has 2304 divisors, whose sum is σ = 3606011136000. Its totient is φ = 164539662336.

The previous prime is 796588369909. The next prime is 796588369921. The reversal of 796588369920 is 29963885697.

796588369920 is a `hidden beast` number, since 7 + 9 + 6 + 588 + 36 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (796588369921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9597450199 + ... + 9597450281.

It is an arithmetic number, because the mean of its divisors is an integer number (1565109000).

Almost surely, 2^796588369920 is an apocalyptic number.

796588369920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796588369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803005568000).

796588369920 is an abundant number, since it is smaller than the sum of its proper divisors (2809422766080).

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

796588369920 is a wasteful number, since it uses less digits than its factorization.

796588369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 796588369920 in words is "seven hundred ninety-six billion, five hundred eighty-eight million, three hundred sixty-nine thousand, nine hundred twenty".