769282272 has 120 divisors (see below), whose sum is σ = 2468205432. Its totient is φ = 233107200.

The previous prime is 769282253. The next prime is 769282273. The reversal of 769282272 is 272282967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769282273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15022 + ... + 42002.

Almost surely, 2^769282272 is an apocalyptic number.

769282272 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 769282272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234102716).

769282272 is an abundant number, since it is smaller than the sum of its proper divisors (1698923160).

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

769282272 is a wasteful number, since it uses less digits than its factorization.

769282272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27014 (or 26997 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 769282272 is about 27735.9382750972. The cubic root of 769282272 is about 916.2807755936.

The spelling of 769282272 in words is "seven hundred sixty-nine million, two hundred eighty-two thousand, two hundred seventy-two".