769201632 has 72 divisors (see below), whose sum is σ = 2194297560. Its totient is φ = 255594240.

The previous prime is 769201619. The next prime is 769201633. The reversal of 769201632 is 236102967.

769201632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769201633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91294 + ... + 99362.

It is an arithmetic number, because the mean of its divisors is an integer number (30476355).

Almost surely, 2^769201632 is an apocalyptic number.

769201632 is a gapful number since it is divisible by the number (72) 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 769201632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097148780).

769201632 is an abundant number, since it is smaller than the sum of its proper divisors (1425095928).

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

769201632 is a wasteful number, since it uses less digits than its factorization.

769201632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 769201632 is about 27734.4845273894. The cubic root of 769201632 is about 916.2487581030.

The spelling of 769201632 in words is "seven hundred sixty-nine million, two hundred one thousand, six hundred thirty-two".