796277664 has 288 divisors, whose sum is σ = 2910345984. Its totient is φ = 200724480.

The previous prime is 796277623. The next prime is 796277701. The reversal of 796277664 is 466772697.

It is a happy number.

796277664 is a `hidden beast` number, since 7 + 9 + 627 + 7 + 6 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 796277664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602124 + ... + 603444.

It is an arithmetic number, because the mean of its divisors is an integer number (10105368).

Almost surely, 2^796277664 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 796277664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455172992).

796277664 is an abundant number, since it is smaller than the sum of its proper divisors (2114068320).

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

796277664 is a wasteful number, since it uses less digits than its factorization.

796277664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1369 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 796277664 is about 28218.3923000585. The cubic root of 796277664 is about 926.8757317458.

The spelling of 796277664 in words is "seven hundred ninety-six million, two hundred seventy-seven thousand, six hundred sixty-four".