764827648 has 96 divisors (see below), whose sum is σ = 1719900000. Its totient is φ = 337379328.

The previous prime is 764827621. The next prime is 764827669. The reversal of 764827648 is 846728467.

It is a super-2 number, since 2×764827648² = 1169922662290423808, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 764827595 and 764827604.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 611728 + ... + 612976.

It is an arithmetic number, because the mean of its divisors is an integer number (17915625).

Almost surely, 2^764827648 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 764827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859950000).

764827648 is an abundant number, since it is smaller than the sum of its proper divisors (955072352).

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

764827648 is a wasteful number, since it uses less digits than its factorization.

764827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1287 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 52.

The square root of 764827648 is about 27655.5174965141. The cubic root of 764827648 is about 914.5087384498.

The spelling of 764827648 in words is "seven hundred sixty-four million, eight hundred twenty-seven thousand, six hundred forty-eight".