768249664 has 168 divisors, whose sum is σ = 1926214080. Its totient is φ = 297603072.

The previous prime is 768249623. The next prime is 768249673. The reversal of 768249664 is 466942867.

It is a happy number.

It is a super-2 number, since 2×768249664² = 1180415092472225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5526907 + ... + 5527045.

It is an arithmetic number, because the mean of its divisors is an integer number (11465560).

Almost surely, 2^768249664 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 768249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963107040).

768249664 is an abundant number, since it is smaller than the sum of its proper divisors (1157964416).

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

768249664 is a wasteful number, since it uses less digits than its factorization.

768249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The square root of 768249664 is about 27717.3170418783. The cubic root of 768249664 is about 915.8706172973.

The spelling of 768249664 in words is "seven hundred sixty-eight million, two hundred forty-nine thousand, six hundred sixty-four".