767649564 has 144 divisors (see below), whose sum is σ = 2236066560. Its totient is φ = 219774720.

The previous prime is 767649563. The next prime is 767649577. The reversal of 767649564 is 465946767.

767649564 is a `hidden beast` number, since 7 + 6 + 76 + 4 + 9 + 564 = 666.

767649564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (7620480) is a multiple of the sum of its prime factors (1080).

It is a self number, because there is not a number n which added to its sum of digits gives 767649564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (767649563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810139 + ... + 811085.

It is an arithmetic number, because the mean of its divisors is an integer number (15528240).

Almost surely, 2^767649564 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 767649564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118033280).

767649564 is an abundant number, since it is smaller than the sum of its proper divisors (1468416996).

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

767649564 is a wasteful number, since it uses less digits than its factorization.

767649564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1075 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 767649564 is about 27706.4895647211. The cubic root of 767649564 is about 915.6320849766.

The spelling of 767649564 in words is "seven hundred sixty-seven million, six hundred forty-nine thousand, five hundred sixty-four".