769165488 has 240 divisors, whose sum is σ = 2686494720. Its totient is φ = 200019456.

The previous prime is 769165483. The next prime is 769165489. The reversal of 769165488 is 884561967.

769165488 is a `hidden beast` number, since 7 + 6 + 91 + 6 + 548 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (769165483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034845 + ... + 1035587.

It is an arithmetic number, because the mean of its divisors is an integer number (11193728).

Almost surely, 2^769165488 is an apocalyptic number.

769165488 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 769165488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343247360).

769165488 is an abundant number, since it is smaller than the sum of its proper divisors (1917329232).

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

769165488 is a wasteful number, since it uses less digits than its factorization.

769165488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 847 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 769165488 is about 27733.8329121670. The cubic root of 769165488 is about 916.2344066801.

The spelling of 769165488 in words is "seven hundred sixty-nine million, one hundred sixty-five thousand, four hundred eighty-eight".