767664648 has 128 divisors (see below), whose sum is σ = 2313360000. Its totient is φ = 234915840.

The previous prime is 767664647. The next prime is 767664661. The reversal of 767664648 is 846466767.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 767664594 and 767664603.

It is not an unprimeable number, because it can be changed into a prime (767664647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148003 + ... + 153101.

It is an arithmetic number, because the mean of its divisors is an integer number (18073125).

Almost surely, 2^767664648 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 767664648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156680000).

767664648 is an abundant number, since it is smaller than the sum of its proper divisors (1545695352).

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

767664648 is a wasteful number, since it uses less digits than its factorization.

767664648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5162 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 767664648 is about 27706.7617739786. The cubic root of 767664648 is about 915.6380822027.

The spelling of 767664648 in words is "seven hundred sixty-seven million, six hundred sixty-four thousand, six hundred forty-eight".