769099860 has 144 divisors (see below), whose sum is σ = 2546980800. Its totient is φ = 194275584.

The previous prime is 769099847. The next prime is 769099861. The reversal of 769099860 is 68990967.

769099860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 769099797 and 769099806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769099861) 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, 88176 + ... + 96504.

Almost surely, 2^769099860 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 769099860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273490400).

769099860 is an abundant number, since it is smaller than the sum of its proper divisors (1777880940).

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

769099860 is a wasteful number, since it uses less digits than its factorization.

769099860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 769099860 is about 27732.6497111257. The cubic root of 769099860 is about 916.2083471204.

The spelling of 769099860 in words is "seven hundred sixty-nine million, ninety-nine thousand, eight hundred sixty".