768280240 has 80 divisors (see below), whose sum is σ = 2198484288. Its totient is φ = 243145728.

The previous prime is 768280237. The next prime is 768280243. The reversal of 768280240 is 42082867.

It is an interprime number because it is at equal distance from previous prime (768280237) and next prime (768280243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 768280240.

It is not an unprimeable number, because it can be changed into a prime (768280243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45487 + ... + 60046.

Almost surely, 2^768280240 is an apocalyptic number.

768280240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

768280240 is an abundant number, since it is smaller than the sum of its proper divisors (1430204048).

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

768280240 is a wasteful number, since it uses less digits than its factorization.

768280240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105566 (or 105560 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 768280240 is about 27717.8686049270. The cubic root of 768280240 is about 915.8827675525.

The spelling of 768280240 in words is "seven hundred sixty-eight million, two hundred eighty thousand, two hundred forty".