767797680 has 320 divisors, whose sum is σ = 2694827520. Its totient is φ = 179601408.

The previous prime is 767797669. The next prime is 767797699. The reversal of 767797680 is 86797767.

767797680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 767797680.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7915392 + ... + 7915488.

It is an arithmetic number, because the mean of its divisors is an integer number (8421336).

Almost surely, 2^767797680 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 767797680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347413760).

767797680 is an abundant number, since it is smaller than the sum of its proper divisors (1927029840).

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

767797680 is a wasteful number, since it uses less digits than its factorization.

767797680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 57.

The square root of 767797680 is about 27709.1623835871. The cubic root of 767797680 is about 915.6909708045.

The spelling of 767797680 in words is "seven hundred sixty-seven million, seven hundred ninety-seven thousand, six hundred eighty".