769661280 has 144 divisors (see below), whose sum is σ = 2636537904. Its totient is φ = 204456960.

The previous prime is 769661261. The next prime is 769661293. The reversal of 769661280 is 82166967.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 441210 + ... + 442950.

It is an arithmetic number, because the mean of its divisors is an integer number (18309291).

Almost surely, 2^769661280 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 769661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318268952).

769661280 is an abundant number, since it is smaller than the sum of its proper divisors (1866876624).

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

769661280 is a wasteful number, since it uses less digits than its factorization.

769661280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 769661280 is about 27742.7698689226. The cubic root of 769661280 is about 916.4312278357.

The spelling of 769661280 in words is "seven hundred sixty-nine million, six hundred sixty-one thousand, two hundred eighty".