769222368 has 72 divisors (see below), whose sum is σ = 2215231200. Its totient is φ = 253154304.

The previous prime is 769222367. The next prime is 769222369. The reversal of 769222368 is 863222967.

769222368 is a `hidden beast` number, since 7 + 69 + 222 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (769222367) and next prime (769222369).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769222367) 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, 5848 + ... + 39656.

It is an arithmetic number, because the mean of its divisors is an integer number (30767100).

Almost surely, 2^769222368 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 769222368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107615600).

769222368 is an abundant number, since it is smaller than the sum of its proper divisors (1446008832).

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

769222368 is a wasteful number, since it uses less digits than its factorization.

769222368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33904 (or 33893 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 769222368 is about 27734.8583555063. The cubic root of 769222368 is about 916.2569913858.

The spelling of 769222368 in words is "seven hundred sixty-nine million, two hundred twenty-two thousand, three hundred sixty-eight".