797408352 has 144 divisors (see below), whose sum is σ = 2452898448. Its totient is φ = 244270080.

The previous prime is 797408347. The next prime is 797408369. The reversal of 797408352 is 253804797.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 797408298 and 797408307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1396227 + ... + 1396797.

It is an arithmetic number, because the mean of its divisors is an integer number (17034017).

Almost surely, 2^797408352 is an apocalyptic number.

797408352 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 797408352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226449224).

797408352 is an abundant number, since it is smaller than the sum of its proper divisors (1655490096).

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

797408352 is a wasteful number, since it uses less digits than its factorization.

797408352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 797408352 is about 28238.4197858166. The cubic root of 797408352 is about 927.3142352396.

The spelling of 797408352 in words is "seven hundred ninety-seven million, four hundred eight thousand, three hundred fifty-two".