768695040 has 216 divisors, whose sum is σ = 2711938320. Its totient is φ = 200957952.

The previous prime is 768695033. The next prime is 768695041. The reversal of 768695040 is 40596867.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (768695041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 609931 + ... + 611189.

It is an arithmetic number, because the mean of its divisors is an integer number (12555270).

Almost surely, 2^768695040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355969160).

768695040 is an abundant number, since it is smaller than the sum of its proper divisors (1943243280).

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

768695040 is a wasteful number, since it uses less digits than its factorization.

768695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 768695040 is about 27725.3501330461. The cubic root of 768695040 is about 916.0475684507.

The spelling of 768695040 in words is "seven hundred sixty-eight million, six hundred ninety-five thousand, forty".