769187664 has 100 divisors (see below), whose sum is σ = 2544318304. Its totient is φ = 219765312.

The previous prime is 769187651. The next prime is 769187669. The reversal of 769187664 is 466781967.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 769187664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769187669) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 33322 + ... + 51465.

Almost surely, 2^769187664 is an apocalyptic number.

It is an amenable number.

769187664 is an abundant number, since it is smaller than the sum of its proper divisors (1775130640).

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

769187664 is a wasteful number, since it uses less digits than its factorization.

769187664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84814 (or 84799 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 769187664 is about 27734.2327097758. The cubic root of 769187664 is about 916.2432119889.

The spelling of 769187664 in words is "seven hundred sixty-nine million, one hundred eighty-seven thousand, six hundred sixty-four".