769025664 has 240 divisors, whose sum is σ = 2519681010. Its totient is φ = 232657920.

The previous prime is 769025657. The next prime is 769025669. The reversal of 769025664 is 466520967.

It can be written as a sum of positive squares in only one way, i.e., 768398400 + 627264 = 27720^2 + 792^2 .

It is not an unprimeable number, because it can be changed into a prime (769025669) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1254222 + ... + 1254834.

Almost surely, 2^769025664 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 769025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259840505).

769025664 is an abundant number, since it is smaller than the sum of its proper divisors (1750655346).

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

769025664 is a wasteful number, since it uses less digits than its factorization.

769025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 769025664 is about 27731.3119776184. The cubic root of 769025664 is about 916.1788835946.

The spelling of 769025664 in words is "seven hundred sixty-nine million, twenty-five thousand, six hundred sixty-four".