769220172 has 96 divisors (see below), whose sum is σ = 2291072000. Its totient is φ = 218630016.

The previous prime is 769220167. The next prime is 769220173. The reversal of 769220172 is 271022967.

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

It is not an unprimeable number, because it can be changed into a prime (769220173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147888 + ... + 153000.

Almost surely, 2^769220172 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 769220172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145536000).

769220172 is an abundant number, since it is smaller than the sum of its proper divisors (1521851828).

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

769220172 is a wasteful number, since it uses less digits than its factorization.

769220172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 769220172 is about 27734.8187663089. The cubic root of 769220172 is about 916.2561194653.

The spelling of 769220172 in words is "seven hundred sixty-nine million, two hundred twenty thousand, one hundred seventy-two".