768545820 has 576 divisors, whose sum is σ = 3082060800. Its totient is φ = 156764160.

The previous prime is 768545807. The next prime is 768545863. The reversal of 768545820 is 28545867.

768545820 is a `hidden beast` number, since 7 + 68 + 5 + 4 + 582 + 0 = 666.

768545820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18745000 + ... + 18745040.

It is an arithmetic number, because the mean of its divisors is an integer number (5350800).

Almost surely, 2^768545820 is an apocalyptic number.

768545820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768545820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400).

768545820 is an abundant number, since it is smaller than the sum of its proper divisors (2313514980).

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

768545820 is a wasteful number, since it uses less digits than its factorization.

768545820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 768545820 is about 27722.6589633823. The cubic root of 768545820 is about 915.9882898651.

The spelling of 768545820 in words is "seven hundred sixty-eight million, five hundred forty-five thousand, eight hundred twenty".