768207505 has 48 divisors (see below), whose sum is σ = 1042418160. Its totient is φ = 540131328.

The previous prime is 768207499. The next prime is 768207511. The reversal of 768207505 is 505702867.

It is an interprime number because it is at equal distance from previous prime (768207499) and next prime (768207511).

It can be written as a sum of positive squares in 24 ways, for example, as 386083201 + 382124304 = 19649^2 + 19548^2 .

It is not a de Polignac number, because 768207505 - 2¹¹ = 768205457 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7919617 + ... + 7919713.

It is an arithmetic number, because the mean of its divisors is an integer number (21717045).

Almost surely, 2^768207505 is an apocalyptic number.

It is an amenable number.

768207505 is a deficient number, since it is larger than the sum of its proper divisors (274210655).

768207505 is a wasteful number, since it uses less digits than its factorization.

768207505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 768207505 is about 27716.5565141126. The cubic root of 768207505 is about 915.8538636743.

The spelling of 768207505 in words is "seven hundred sixty-eight million, two hundred seven thousand, five hundred five".