769789104 has 320 divisors, whose sum is σ = 2609832960. Its totient is φ = 190218240.

The previous prime is 769789099. The next prime is 769789127. The reversal of 769789104 is 401987967.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4449562 + ... + 4449734.

It is an arithmetic number, because the mean of its divisors is an integer number (8155728).

Almost surely, 2^769789104 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 769789104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304916480).

769789104 is an abundant number, since it is smaller than the sum of its proper divisors (1840043856).

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

769789104 is a wasteful number, since it uses less digits than its factorization.

769789104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 769789104 is about 27745.0735086429. The cubic root of 769789104 is about 916.4819581262.

The spelling of 769789104 in words is "seven hundred sixty-nine million, seven hundred eighty-nine thousand, one hundred four".