768003420 has 48 divisors (see below), whose sum is σ = 2185672608. Its totient is φ = 201442560.

The previous prime is 768003409. The next prime is 768003421. The reversal of 768003420 is 24300867.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768003421) by changing a digit.

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, 101259 + ... + 108578.

It is an arithmetic number, because the mean of its divisors is an integer number (45534846).

Almost surely, 2^768003420 is an apocalyptic number.

It is an amenable number.

768003420 is an abundant number, since it is smaller than the sum of its proper divisors (1417669188).

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

768003420 is a wasteful number, since it uses less digits than its factorization.

768003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209910 (or 209908 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 768003420 is about 27712.8746253434. The cubic root of 768003420 is about 915.7727533888.

The spelling of 768003420 in words is "seven hundred sixty-eight million, three thousand, four hundred twenty".