797610240 has 540 divisors, whose sum is σ = 3341099916. Its totient is φ = 181149696.

The previous prime is 797610239. The next prime is 797610263. The reversal of 797610240 is 42016797.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 260112384 + 537497856 = 16128^2 + 23184^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 797610195 and 797610204.

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 59 ways as a sum of consecutive naturals, for example, 5080242 + ... + 5080398.

Almost surely, 2^797610240 is an apocalyptic number.

797610240 is a gapful number since it is divisible by the number (70) 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 797610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670549958).

797610240 is an abundant number, since it is smaller than the sum of its proper divisors (2543489676).

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

797610240 is a wasteful number, since it uses less digits than its factorization.

797610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 797610240 is about 28241.9942638618. The cubic root of 797610240 is about 927.3924878348.

The spelling of 797610240 in words is "seven hundred ninety-seven million, six hundred ten thousand, two hundred forty".