768836240 has 40 divisors (see below), whose sum is σ = 1805261688. Its totient is φ = 304486400.

The previous prime is 768836231. The next prime is 768836251. The reversal of 768836240 is 42638867.

It can be written as a sum of positive squares in 4 ways, for example, as 510398464 + 258437776 = 22592^2 + 16076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×768836240² = 1182218327874675200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 768836191 and 768836200.

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 7 ways as a sum of consecutive naturals, for example, 39497 + ... + 55656.

Almost surely, 2^768836240 is an apocalyptic number.

It is an amenable number.

768836240 is an abundant number, since it is smaller than the sum of its proper divisors (1036425448).

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

768836240 is a wasteful number, since it uses less digits than its factorization.

768836240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95267 (or 95261 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 768836240 is about 27727.8964221955. The cubic root of 768836240 is about 916.1036539770.

The spelling of 768836240 in words is "seven hundred sixty-eight million, eight hundred thirty-six thousand, two hundred forty".