797271552 has 480 divisors, whose sum is σ = 3022842240. Its totient is φ = 205148160.

The previous prime is 797271551. The next prime is 797271577. The reversal of 797271552 is 255172797.

797271552 is a `hidden beast` number, since 7 + 97 + 2 + 7 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 797271498 and 797271507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797271551) 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, 7451083 + ... + 7451189.

It is an arithmetic number, because the mean of its divisors is an integer number (6297588).

Almost surely, 2^797271552 is an apocalyptic number.

797271552 is a gapful number since it is divisible by the number (72) 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 797271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511421120).

797271552 is an abundant number, since it is smaller than the sum of its proper divisors (2225570688).

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

797271552 is a wasteful number, since it uses less digits than its factorization.

797271552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its digits is 308700, while the sum is 45.

The square root of 797271552 is about 28235.9974500636. The cubic root of 797271552 is about 927.2612035057.

It can be divided in two parts, 7972 and 71552, that added together give a square (79524 = 282²).

The spelling of 797271552 in words is "seven hundred ninety-seven million, two hundred seventy-one thousand, five hundred fifty-two".