797737248 has 360 divisors, whose sum is σ = 2982483504. Its totient is φ = 206841600.

The previous prime is 797737243. The next prime is 797737261. The reversal of 797737248 is 842737797.

It is a super-2 number, since 2×797737248² = 1272769433693227008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 797737194 and 797737203.

It is not an unprimeable number, because it can be changed into a prime (797737243) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1396803 + ... + 1397373.

Almost surely, 2^797737248 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 797737248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491241752).

797737248 is an abundant number, since it is smaller than the sum of its proper divisors (2184746256).

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

797737248 is a wasteful number, since it uses less digits than its factorization.

797737248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 594 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 797737248 is about 28244.2427407782. The cubic root of 797737248 is about 927.4417098766.

The spelling of 797737248 in words is "seven hundred ninety-seven million, seven hundred thirty-seven thousand, two hundred forty-eight".