769343872 has 64 divisors (see below), whose sum is σ = 1684468800. Its totient is φ = 347097600.

The previous prime is 769343851. The next prime is 769343873. The reversal of 769343872 is 278343967.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769343873) 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 7 ways as a sum of consecutive naturals, for example, 193747 + ... + 197677.

It is an arithmetic number, because the mean of its divisors is an integer number (26319825).

Almost surely, 2^769343872 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 769343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842234400).

769343872 is an abundant number, since it is smaller than the sum of its proper divisors (915124928).

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

769343872 is a wasteful number, since it uses less digits than its factorization.

769343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4083 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 49.

The square root of 769343872 is about 27737.0487254863. The cubic root of 769343872 is about 916.3052318916.

The spelling of 769343872 in words is "seven hundred sixty-nine million, three hundred forty-three thousand, eight hundred seventy-two".