767728720 has 40 divisors (see below), whose sum is σ = 1947241440. Its totient is φ = 279173760.

The previous prime is 767728711. The next prime is 767728729. The reversal of 767728720 is 27827767.

It is an interprime number because it is at equal distance from previous prime (767728711) and next prime (767728729).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (767728729) 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 7 ways as a sum of consecutive naturals, for example, 435330 + ... + 437089.

It is an arithmetic number, because the mean of its divisors is an integer number (48681036).

Almost surely, 2^767728720 is an apocalyptic number.

It is an amenable number.

767728720 is an abundant number, since it is smaller than the sum of its proper divisors (1179512720).

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

767728720 is a wasteful number, since it uses less digits than its factorization.

767728720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872443 (or 872437 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 46.

The square root of 767728720 is about 27707.9180018997. The cubic root of 767728720 is about 915.6635556223.

The spelling of 767728720 in words is "seven hundred sixty-seven million, seven hundred twenty-eight thousand, seven hundred twenty".