769643952 has 160 divisors (see below), whose sum is σ = 2526266880. Its totient is φ = 196085760.

The previous prime is 769643947. The next prime is 769643999. The reversal of 769643952 is 259346967.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 769643895 and 769643904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193924 + ... + 197852.

It is an arithmetic number, because the mean of its divisors is an integer number (15789168).

Almost surely, 2^769643952 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 769643952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263133440).

769643952 is an abundant number, since it is smaller than the sum of its proper divisors (1756622928).

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

769643952 is a wasteful number, since it uses less digits than its factorization.

769643952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011 (or 4005 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 51.

The square root of 769643952 is about 27742.4575695810. The cubic root of 769643952 is about 916.4243503343.

The spelling of 769643952 in words is "seven hundred sixty-nine million, six hundred forty-three thousand, nine hundred fifty-two".