797577648 has 160 divisors (see below), whose sum is σ = 2428416000. Its totient is φ = 220872960.

The previous prime is 797577637. The next prime is 797577659. The reversal of 797577648 is 846775797.

It is an interprime number because it is at equal distance from previous prime (797577637) and next prime (797577659).

It is a super-2 number, since 2×797577648² = 1272260209178423808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 797577591 and 797577600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598103 + ... + 1598601.

It is an arithmetic number, because the mean of its divisors is an integer number (15177600).

Almost surely, 2^797577648 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 797577648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214208000).

797577648 is an abundant number, since it is smaller than the sum of its proper divisors (1630838352).

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

797577648 is a wasteful number, since it uses less digits than its factorization.

797577648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its digits is 20744640, while the sum is 60.

The square root of 797577648 is about 28241.4172448905. The cubic root of 797577648 is about 927.3798559392.

The spelling of 797577648 in words is "seven hundred ninety-seven million, five hundred seventy-seven thousand, six hundred forty-eight".