769903104 has 320 divisors, whose sum is σ = 2388418560. Its totient is φ = 218972160.

The previous prime is 769903087. The next prime is 769903117. The reversal of 769903104 is 401309967.

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 31 ways as a sum of consecutive naturals, for example, 20808174 + ... + 20808210.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2^769903104 is an apocalyptic number.

769903104 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769903104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194209280).

769903104 is an abundant number, since it is smaller than the sum of its proper divisors (1618515456).

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

769903104 is a wasteful number, since it uses less digits than its factorization.

769903104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 769903104 is about 27747.1278513651. The cubic root of 769903104 is about 916.5271972640.

The spelling of 769903104 in words is "seven hundred sixty-nine million, nine hundred three thousand, one hundred four".