791446656 has 512 divisors, whose sum is σ = 2961100800. Its totient is φ = 180633600.

The previous prime is 791446639. The next prime is 791446673. The reversal of 791446656 is 656644197.

It is an interprime number because it is at equal distance from previous prime (791446639) and next prime (791446673).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11147101 + ... + 11147171.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^791446656 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 791446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480550400).

791446656 is an abundant number, since it is smaller than the sum of its proper divisors (2169654144).

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

791446656 is a wasteful number, since it uses less digits than its factorization.

791446656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 791446656 is about 28132.6617297404. The cubic root of 791446656 is about 924.9974798081.

The spelling of 791446656 in words is "seven hundred ninety-one million, four hundred forty-six thousand, six hundred fifty-six".