769921504 has 96 divisors (see below), whose sum is σ = 1754887680. Its totient is φ = 329049600.

The previous prime is 769921499. The next prime is 769921543. The reversal of 769921504 is 405129967.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 493077 + ... + 494635.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 2^769921504 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 769921504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

769921504 is an abundant number, since it is smaller than the sum of its proper divisors (984966176).

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

769921504 is a wasteful number, since it uses less digits than its factorization.

769921504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 769921504 is about 27747.4594152330. The cubic root of 769921504 is about 916.5344986010.

The spelling of 769921504 in words is "seven hundred sixty-nine million, nine hundred twenty-one thousand, five hundred four".