768582840 has 64 divisors (see below), whose sum is σ = 2309801760. Its totient is φ = 204595200.

The previous prime is 768582827. The next prime is 768582877. The reversal of 768582840 is 48285867.

It is a self number, because there is not a number n which added to its sum of digits gives 768582840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66792 + ... + 77448.

Almost surely, 2^768582840 is an apocalyptic number.

It is an amenable number.

768582840 is an abundant number, since it is smaller than the sum of its proper divisors (1541218920).

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

768582840 is a wasteful number, since it uses less digits than its factorization.

768582840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 768582840 is about 27723.3266402140. The cubic root of 768582840 is about 916.0029970091.

It can be divided in two parts, 7685 and 82840, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 768582840 in words is "seven hundred sixty-eight million, five hundred eighty-two thousand, eight hundred forty".