769917904 has 160 divisors (see below), whose sum is σ = 1845596160. Its totient is φ = 304280064.

The previous prime is 769917901. The next prime is 769917917. The reversal of 769917904 is 409719967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769917901) by changing a digit.

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, 11491279 + ... + 11491345.

It is an arithmetic number, because the mean of its divisors is an integer number (11534976).

Almost surely, 2^769917904 is an apocalyptic number.

769917904 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 769917904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922798080).

769917904 is an abundant number, since it is smaller than the sum of its proper divisors (1075678256).

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

769917904 is a wasteful number, since it uses less digits than its factorization.

769917904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 52.

The square root of 769917904 is about 27747.3945443532. The cubic root of 769917904 is about 916.5330700877.

The spelling of 769917904 in words is "seven hundred sixty-nine million, nine hundred seventeen thousand, nine hundred four".