767227680 has 384 divisors, whose sum is σ = 2943682560. Its totient is φ = 185794560.

The previous prime is 767227679. The next prime is 767227717. The reversal of 767227680 is 86722767.

It is a happy number.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2276472 + ... + 2276808.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2^767227680 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 767227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471841280).

767227680 is an abundant number, since it is smaller than the sum of its proper divisors (2176454880).

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

767227680 is a wasteful number, since it uses less digits than its factorization.

767227680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 767227680 is about 27698.8750674102. The cubic root of 767227680 is about 915.4643168821.

The spelling of 767227680 in words is "seven hundred sixty-seven million, two hundred twenty-seven thousand, six hundred eighty".