769564068 has 192 divisors, whose sum is σ = 2408448000. Its totient is φ = 185504256.

The previous prime is 769564067. The next prime is 769564069. The reversal of 769564068 is 860465967.

It is an interprime number because it is at equal distance from previous prime (769564067) and next prime (769564069).

It is a self number, because there is not a number n which added to its sum of digits gives 769564068.

It is not an unprimeable number, because it can be changed into a prime (769564067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 601053 + ... + 602331.

It is an arithmetic number, because the mean of its divisors is an integer number (12544000).

Almost surely, 2^769564068 is an apocalyptic number.

769564068 is a gapful number since it is divisible by the number (78) 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 769564068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204224000).

769564068 is an abundant number, since it is smaller than the sum of its proper divisors (1638883932).

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

769564068 is a wasteful number, since it uses less digits than its factorization.

769564068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 769564068 is about 27741.0177895477. The cubic root of 769564068 is about 916.3926429561.

The spelling of 769564068 in words is "seven hundred sixty-nine million, five hundred sixty-four thousand, sixty-eight".