768205776 has 40 divisors (see below), whose sum is σ = 2137189600. Its totient is φ = 236370816.

The previous prime is 768205771. The next prime is 768205799. The reversal of 768205776 is 677502867.

It is a super-3 number, since 3×768205776³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768205771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614926 + ... + 616173.

It is an arithmetic number, because the mean of its divisors is an integer number (53429740).

Almost surely, 2^768205776 is an apocalyptic number.

It is an amenable number.

768205776 is an abundant number, since it is smaller than the sum of its proper divisors (1368983824).

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

768205776 is a wasteful number, since it uses less digits than its factorization.

768205776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231123 (or 1231117 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The square root of 768205776 is about 27716.5253233518. The cubic root of 768205776 is about 915.8531765715.

The spelling of 768205776 in words is "seven hundred sixty-eight million, two hundred five thousand, seven hundred seventy-six".